Greatest Common Factor of 8349/951, 7480/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8349/951, 7480/762

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 8349/951,7480/762

Given fractions are 8349/951,7480/762

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 8349,7480

Greatest Common Factor of Numerators i.e. GCF of 8349,7480 is 11 .

LCM of Denominators means LCM of 951,762 as per the given fractions.

LCM of 951,762 is 241554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8349,7480

GCF of Fractions 8349/951,7480/762 is 11/241554

11 8349, 7480
759, 680

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8349,7480 By Matching Biggest Common Factor Method

Greatest Common Factor of 8349,7480 By Matching Biggest Common Factor Method

Factors of 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1,3,11,23,33,69,121,253,363,759,2783,8349

Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480

Greatest Common Factor

We found the factors 8349,7480 . The biggest common factor number is the GCF number.
So the greatest common factor 8349,7480 is 11.

Lets's calculate LCM of 951,762

3 951, 762
317, 254

∴ So the LCM of the given numbers is 3 x 317 x 254 = 241554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/241554

Therefore, the GCF of Fractions 8349/951,7480/762 is 11/241554

Least Common Multiple of 951,762 with GCF Formula

Least Common Multiple of 951,762 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 951,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,762) = 3

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

GCF(951,762) x common factors =3 x 1 = 3

LCM(951,762) = ( 951 × 762 ) / 3

LCM(951,762) = 724662 / 3

LCM(951,762) = 241554


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 8349/951, 7480/762

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 8349/951, 7480/762?

Answer: GCF of Numerators as per given numbers 8349/951, 7480/762 is

GCF of Numerators i.e. for 8349,7480 is 11

LCM of denominators i.e. for 951,762 is 241554.

Thus, GCF of Fractions is 11/241554.Finally, GCF of Fractions for 8349/951, 7480/762 is 11/241554.