Greatest Common Factor of 640/65, 138/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/65, 138/862

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 640/65,138/862

Given fractions are 640/65,138/862

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 640,138

Greatest Common Factor of Numerators i.e. GCF of 640,138 is 2 .

LCM of Denominators means LCM of 65,862 as per the given fractions.

LCM of 65,862 is 56030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,138

GCF of Fractions 640/65,138/862 is 2/56030

2 640, 138
320, 69

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 640,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,138 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 640,138 . The biggest common factor number is the GCF number.
So the greatest common factor 640,138 is 2.

Lets's calculate LCM of 65,862

Given numbers has no common factors except 1. So, there LCM is their product i.e 56030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56030

Therefore, the GCF of Fractions 640/65,138/862 is 2/56030

Least Common Multiple of 65,862 with GCF Formula

Least Common Multiple of 65,862 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 65,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,862) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(65,862) x common factors =1 x 1 = 1

LCM(65,862) = ( 65 × 862 ) / 1

LCM(65,862) = 56030 / 1

LCM(65,862) = 56030


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 640/65, 138/862

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 640/65, 138/862?

Answer: GCF of Numerators as per given numbers 640/65, 138/862 is

GCF of Numerators i.e. for 640,138 is 2

LCM of denominators i.e. for 65,862 is 56030.

Thus, GCF of Fractions is 2/56030.Finally, GCF of Fractions for 640/65, 138/862 is 2/56030.