Greatest Common Factor of 663/82, 7397/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/82, 7397/772

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 663/82,7397/772

Given fractions are 663/82,7397/772

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 663,7397

Greatest Common Factor of Numerators i.e. GCF of 663,7397 is 13 .

LCM of Denominators means LCM of 82,772 as per the given fractions.

LCM of 82,772 is 31652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,7397

GCF of Fractions 663/82,7397/772 is 13/31652

13 663, 7397
51, 569

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 663,7397 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,7397 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 7397

List of positive integer factors of 7397 that divides 7397 without a remainder.

1,13,569,7397

Greatest Common Factor

We found the factors 663,7397 . The biggest common factor number is the GCF number.
So the greatest common factor 663,7397 is 13.

Lets's calculate LCM of 82,772

2 82, 772
41, 386

∴ So the LCM of the given numbers is 2 x 41 x 386 = 31652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/31652

Therefore, the GCF of Fractions 663/82,7397/772 is 13/31652

Least Common Multiple of 82,772 with GCF Formula

Least Common Multiple of 82,772 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 82,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,772) = 2

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

GCF(82,772) x common factors =2 x 1 = 2

LCM(82,772) = ( 82 × 772 ) / 2

LCM(82,772) = 63304 / 2

LCM(82,772) = 31652


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 663/82, 7397/772

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 663/82, 7397/772?

Answer: GCF of Numerators as per given numbers 663/82, 7397/772 is

GCF of Numerators i.e. for 663,7397 is 13

LCM of denominators i.e. for 82,772 is 31652.

Thus, GCF of Fractions is 13/31652.Finally, GCF of Fractions for 663/82, 7397/772 is 13/31652.