Greatest Common Factor of 640/614, 121/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 640/614, 121/658

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 640/614,121/658

Given fractions are 640/614,121/658

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 640,121

Greatest Common Factor of Numerators i.e. GCF of 640,121 is 1 .

LCM of Denominators means LCM of 614,658 as per the given fractions.

LCM of 614,658 is 202006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 640,121

GCF of Fractions 640/614,121/658 is 1/202006

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 640,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,121 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 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 640,121 . The biggest common factor number is the GCF number.
So the greatest common factor 640,121 is 1.

Lets's calculate LCM of 614,658

2 614, 658
307, 329

∴ So the LCM of the given numbers is 2 x 307 x 329 = 202006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202006

Therefore, the GCF of Fractions 640/614,121/658 is 1/202006

Least Common Multiple of 614,658 with GCF Formula

Least Common Multiple of 614,658 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 614,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,658) = 2

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

GCF(614,658) x common factors =2 x 1 = 2

LCM(614,658) = ( 614 × 658 ) / 2

LCM(614,658) = 404012 / 2

LCM(614,658) = 202006


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 640/614, 121/658

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 640/614, 121/658?

Answer: GCF of Numerators as per given numbers 640/614, 121/658 is

GCF of Numerators i.e. for 640,121 is 1

LCM of denominators i.e. for 614,658 is 202006.

Thus, GCF of Fractions is 1/202006.Finally, GCF of Fractions for 640/614, 121/658 is 1/202006.