Greatest Common Factor of 773/36, 669/82, 997/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 773/36, 669/82, 997/356

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 773/36,669/82,997/356

Given fractions are 773/36,669/82,997/356

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 773,669,997

Greatest Common Factor of Numerators i.e. GCF of 773,669,997 is 1 .

LCM of Denominators means LCM of 36,82,356 as per the given fractions.

LCM of 36,82,356 is 131364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 773,669,997

GCF of Fractions 773/36,669/82,997/356 is 1/131364

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 773,669,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,669,997 By Matching Biggest Common Factor Method

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 773,669,997 . The biggest common factor number is the GCF number.
So the greatest common factor 773,669,997 is 1.

Lets's calculate LCM of 36,82,356

2 36, 82, 356
2 18, 41, 178
9, 41, 89

∴ So the LCM of the given numbers is 2 x 2 x 9 x 41 x 89 = 131364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131364

Therefore, the GCF of Fractions 773/36,669/82,997/356 is 1/131364

Least Common Multiple of 36,82,356 with GCF Formula

Least Common Multiple of 36,82,356 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 36,82,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,82,356) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(36,82,356) x common factors =2 x 4 = 8

LCM(36,82,356) = ( 36 × 82 × 356 ) / 8

LCM(36,82,356) = 1050912 / 8

LCM(36,82,356) = 131364


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 773/36, 669/82, 997/356

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 773/36, 669/82, 997/356?

Answer: GCF of Numerators as per given numbers 773/36, 669/82, 997/356 is

GCF of Numerators i.e. for 773,669,997 is 1

LCM of denominators i.e. for 36,82,356 is 131364.

Thus, GCF of Fractions is 1/131364.Finally, GCF of Fractions for 773/36, 669/82, 997/356 is 1/131364.