Greatest Common Factor of 7926/680, 4595/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7926/680, 4595/378

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 7926/680,4595/378

Given fractions are 7926/680,4595/378

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 7926,4595

Greatest Common Factor of Numerators i.e. GCF of 7926,4595 is 1 .

LCM of Denominators means LCM of 680,378 as per the given fractions.

LCM of 680,378 is 128520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7926,4595

GCF of Fractions 7926/680,4595/378 is 1/128520

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

Greatest Common Factor of 7926,4595 By Matching Biggest Common Factor Method

Greatest Common Factor of 7926,4595 By Matching Biggest Common Factor Method

Factors of 7926

List of positive integer factors of 7926 that divides 7926 without a remainder.

1,2,3,6,1321,2642,3963,7926

Factors of 4595

List of positive integer factors of 4595 that divides 4595 without a remainder.

1,5,919,4595

Greatest Common Factor

We found the factors 7926,4595 . The biggest common factor number is the GCF number.
So the greatest common factor 7926,4595 is 1.

Lets's calculate LCM of 680,378

2 680, 378
340, 189

∴ So the LCM of the given numbers is 2 x 340 x 189 = 128520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128520

Therefore, the GCF of Fractions 7926/680,4595/378 is 1/128520

Least Common Multiple of 680,378 with GCF Formula

Least Common Multiple of 680,378 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 680,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,378) = 2

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

GCF(680,378) x common factors =2 x 1 = 2

LCM(680,378) = ( 680 × 378 ) / 2

LCM(680,378) = 257040 / 2

LCM(680,378) = 128520


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 7926/680, 4595/378

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 7926/680, 4595/378?

Answer: GCF of Numerators as per given numbers 7926/680, 4595/378 is

GCF of Numerators i.e. for 7926,4595 is 1

LCM of denominators i.e. for 680,378 is 128520.

Thus, GCF of Fractions is 1/128520.Finally, GCF of Fractions for 7926/680, 4595/378 is 1/128520.