Greatest Common Factor of 7907/969, 2874/9180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7907/969, 2874/9180

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 7907/969,2874/9180

Given fractions are 7907/969,2874/9180

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 7907,2874

Greatest Common Factor of Numerators i.e. GCF of 7907,2874 is 1 .

LCM of Denominators means LCM of 969,9180 as per the given fractions.

LCM of 969,9180 is 174420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7907,2874

GCF of Fractions 7907/969,2874/9180 is 1/174420

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

Greatest Common Factor of 7907,2874 By Matching Biggest Common Factor Method

Greatest Common Factor of 7907,2874 By Matching Biggest Common Factor Method

Factors of 7907

List of positive integer factors of 7907 that divides 7907 without a remainder.

1,7907

Factors of 2874

List of positive integer factors of 2874 that divides 2874 without a remainder.

1,2,3,6,479,958,1437,2874

Greatest Common Factor

We found the factors 7907,2874 . The biggest common factor number is the GCF number.
So the greatest common factor 7907,2874 is 1.

Lets's calculate LCM of 969,9180

3 969, 9180
17 323, 3060
19, 180

∴ So the LCM of the given numbers is 3 x 17 x 19 x 180 = 174420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174420

Therefore, the GCF of Fractions 7907/969,2874/9180 is 1/174420

Least Common Multiple of 969,9180 with GCF Formula

Least Common Multiple of 969,9180 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 969,9180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(969,9180) = 51

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

GCF(969,9180) x common factors =51 x 1 = 51

LCM(969,9180) = ( 969 × 9180 ) / 51

LCM(969,9180) = 8895420 / 51

LCM(969,9180) = 174420


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 7907/969, 2874/9180

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 7907/969, 2874/9180?

Answer: GCF of Numerators as per given numbers 7907/969, 2874/9180 is

GCF of Numerators i.e. for 7907,2874 is 1

LCM of denominators i.e. for 969,9180 is 174420.

Thus, GCF of Fractions is 1/174420.Finally, GCF of Fractions for 7907/969, 2874/9180 is 1/174420.