GCF the 60 and 20 is the largest possible number that divides 60 and 20 exactly without any kind of remainder. The factors of 60 and 20 space 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and also 1, 2, 4, 5, 10, 20 respectively. There are 3 generally used techniques to discover the GCF the 60 and also 20 - lengthy division, Euclidean algorithm, and prime factorization.

You are watching: What is the gcf of 20 and 60

1.GCF that 60 and also 20
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 60 and also 20 is 20.

*

Explanation:

The GCF of two non-zero integers, x(60) and y(20), is the biggest positive creature m(20) the divides both x(60) and also y(20) without any type of remainder.


The methods to uncover the GCF that 60 and also 20 are explained below.

Long department MethodListing typical FactorsPrime factorization Method

GCF of 60 and also 20 by long Division

*

GCF the 60 and also 20 is the divisor the we gain when the remainder becomes 0 ~ doing long division repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (20) is the GCF of 60 and also 20.

The matching divisor (20) is the GCF of 60 and 20.

GCF of 60 and 20 through Listing common Factors

Factors the 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60Factors that 20: 1, 2, 4, 5, 10, 20

There are 6 typical factors of 60 and 20, that are 1, 2, 4, 5, 10, and also 20. Therefore, the greatest common factor of 60 and also 20 is 20.

GCF the 60 and also 20 by element Factorization

Prime administrate of 60 and also 20 is (2 × 2 × 3 × 5) and (2 × 2 × 5) respectively. As visible, 60 and also 20 have common prime factors. Hence, the GCF of 60 and also 20 is 2 × 2 × 5 = 20.

☛ also Check:


GCF the 60 and 20 Examples


Example 1: discover the best number the divides 60 and also 20 exactly.

Solution:

The biggest number that divides 60 and also 20 exactly is their greatest common factor, i.e. GCF of 60 and also 20.⇒ determinants of 60 and 20:

Factors that 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60Factors of 20 = 1, 2, 4, 5, 10, 20

Therefore, the GCF the 60 and also 20 is 20.


Example 2: The product of 2 numbers is 1200. If their GCF is 20, what is your LCM?

Solution:

Given: GCF = 20 and product of numbers = 1200∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 1200/20Therefore, the LCM is 60.


Example 3: For 2 numbers, GCF = 20 and also LCM = 60. If one number is 20, uncover the other number.

Solution:

Given: GCF (z, 20) = 20 and also LCM (z, 20) = 60∵ GCF × LCM = 20 × (z)⇒ z = (GCF × LCM)/20⇒ z = (20 × 60)/20⇒ z = 60Therefore, the various other number is 60.


Show solution >

go come slidego to slidego come slide


*


Ready to watch the human being through math’s eyes?
Math is at the main point of whatever we do. Reap solving real-world math troubles in live classes and also become an expert at everything.

Book a free Trial Class


FAQs ~ above GCF the 60 and 20

What is the GCF the 60 and also 20?

The GCF of 60 and also 20 is 20. To calculate the GCF the 60 and 20, we need to element each number (factors that 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60; determinants of 20 = 1, 2, 4, 5, 10, 20) and choose the greatest variable that specifically divides both 60 and also 20, i.e., 20.

If the GCF of 20 and 60 is 20, uncover its LCM.

GCF(20, 60) × LCM(20, 60) = 20 × 60Since the GCF the 20 and also 60 = 20⇒ 20 × LCM(20, 60) = 1200Therefore, LCM = 60☛ Greatest usual Factor Calculator

What space the approaches to find GCF that 60 and 20?

There are three frequently used techniques to find the GCF that 60 and 20.

By element FactorizationBy Listing common FactorsBy lengthy Division

How to find the GCF the 60 and 20 by prime Factorization?

To find the GCF of 60 and 20, we will uncover the prime factorization that the offered numbers, i.e. 60 = 2 × 2 × 3 × 5; 20 = 2 × 2 × 5.⇒ since 2, 2, 5 are common terms in the prime factorization that 60 and 20. Hence, GCF(60, 20) = 2 × 2 × 5 = 20☛ What is a prime Number?

How to uncover the GCF of 60 and also 20 through Long department Method?

To uncover the GCF the 60, 20 making use of long division method, 60 is separated by 20. The equivalent divisor (20) once remainder equals 0 is taken as GCF.

See more: 2004 Honda Accord Transmission Fluid Capacity, How Many Quarts Of Automatic Trans

What is the Relation between LCM and also GCF of 60, 20?

The following equation have the right to be provided to refer the relation between Least usual Multiple (LCM) and GCF that 60 and 20, i.e. GCF × LCM = 60 × 20.