Greatest Common Factor of 759/30, 9708/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/30, 9708/974

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 759/30,9708/974

Given fractions are 759/30,9708/974

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 759,9708

Greatest Common Factor of Numerators i.e. GCF of 759,9708 is 3 .

LCM of Denominators means LCM of 30,974 as per the given fractions.

LCM of 30,974 is 14610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,9708

GCF of Fractions 759/30,9708/974 is 3/14610

3 759, 9708
253, 3236

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 759,9708 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,9708 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 9708

List of positive integer factors of 9708 that divides 9708 without a remainder.

1,2,3,4,6,12,809,1618,2427,3236,4854,9708

Greatest Common Factor

We found the factors 759,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 759,9708 is 3.

Lets's calculate LCM of 30,974

2 30, 974
15, 487

∴ So the LCM of the given numbers is 2 x 15 x 487 = 14610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14610

Therefore, the GCF of Fractions 759/30,9708/974 is 3/14610

Least Common Multiple of 30,974 with GCF Formula

Least Common Multiple of 30,974 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 30,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,974) = 2

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

GCF(30,974) x common factors =2 x 1 = 2

LCM(30,974) = ( 30 × 974 ) / 2

LCM(30,974) = 29220 / 2

LCM(30,974) = 14610


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 759/30, 9708/974

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 759/30, 9708/974?

Answer: GCF of Numerators as per given numbers 759/30, 9708/974 is

GCF of Numerators i.e. for 759,9708 is 3

LCM of denominators i.e. for 30,974 is 14610.

Thus, GCF of Fractions is 3/14610.Finally, GCF of Fractions for 759/30, 9708/974 is 3/14610.