Greatest Common Factor of 6762/519, 9772/5250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6762/519, 9772/5250

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 6762/519,9772/5250

Given fractions are 6762/519,9772/5250

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 6762,9772

Greatest Common Factor of Numerators i.e. GCF of 6762,9772 is 14 .

LCM of Denominators means LCM of 519,5250 as per the given fractions.

LCM of 519,5250 is 908250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6762,9772

GCF of Fractions 6762/519,9772/5250 is 14/908250

2 6762, 9772
7 3381, 4886
483, 698

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 6762,9772 By Matching Biggest Common Factor Method

Greatest Common Factor of 6762,9772 By Matching Biggest Common Factor Method

Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762

Factors of 9772

List of positive integer factors of 9772 that divides 9772 without a remainder.

1,2,4,7,14,28,349,698,1396,2443,4886,9772

Greatest Common Factor

We found the factors 6762,9772 . The biggest common factor number is the GCF number.
So the greatest common factor 6762,9772 is 14.

Lets's calculate LCM of 519,5250

3 519, 5250
173, 1750

∴ So the LCM of the given numbers is 3 x 173 x 1750 = 908250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/908250

Therefore, the GCF of Fractions 6762/519,9772/5250 is 14/908250

Least Common Multiple of 519,5250 with GCF Formula

Least Common Multiple of 519,5250 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 519,5250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,5250) = 3

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

GCF(519,5250) x common factors =3 x 1 = 3

LCM(519,5250) = ( 519 × 5250 ) / 3

LCM(519,5250) = 2724750 / 3

LCM(519,5250) = 908250


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 6762/519, 9772/5250

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 6762/519, 9772/5250?

Answer: GCF of Numerators as per given numbers 6762/519, 9772/5250 is

GCF of Numerators i.e. for 6762,9772 is 14

LCM of denominators i.e. for 519,5250 is 908250.

Thus, GCF of Fractions is 14/908250.Finally, GCF of Fractions for 6762/519, 9772/5250 is 14/908250.