Greatest Common Factor of 7904/52, 9709/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7904/52, 9709/588

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 7904/52,9709/588

Given fractions are 7904/52,9709/588

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 7904,9709

Greatest Common Factor of Numerators i.e. GCF of 7904,9709 is 19 .

LCM of Denominators means LCM of 52,588 as per the given fractions.

LCM of 52,588 is 7644 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7904,9709

GCF of Fractions 7904/52,9709/588 is 19/7644

19 7904, 9709
416, 511

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 7904,9709 By Matching Biggest Common Factor Method

Greatest Common Factor of 7904,9709 By Matching Biggest Common Factor Method

Factors of 7904

List of positive integer factors of 7904 that divides 7904 without a remainder.

1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904

Factors of 9709

List of positive integer factors of 9709 that divides 9709 without a remainder.

1,7,19,73,133,511,1387,9709

Greatest Common Factor

We found the factors 7904,9709 . The biggest common factor number is the GCF number.
So the greatest common factor 7904,9709 is 19.

Lets's calculate LCM of 52,588

2 52, 588
2 26, 294
13, 147

∴ So the LCM of the given numbers is 2 x 2 x 13 x 147 = 7644

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/7644

Therefore, the GCF of Fractions 7904/52,9709/588 is 19/7644

Least Common Multiple of 52,588 with GCF Formula

Least Common Multiple of 52,588 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 52,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,588) = 4

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

GCF(52,588) x common factors =4 x 1 = 4

LCM(52,588) = ( 52 × 588 ) / 4

LCM(52,588) = 30576 / 4

LCM(52,588) = 7644


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 7904/52, 9709/588

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 7904/52, 9709/588?

Answer: GCF of Numerators as per given numbers 7904/52, 9709/588 is

GCF of Numerators i.e. for 7904,9709 is 19

LCM of denominators i.e. for 52,588 is 7644.

Thus, GCF of Fractions is 19/7644.Finally, GCF of Fractions for 7904/52, 9709/588 is 19/7644.