Greatest Common Factor of 966/524, 151/558, 769/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 966/524, 151/558, 769/210

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 966/524,151/558,769/210

Given fractions are 966/524,151/558,769/210

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 966,151,769

Greatest Common Factor of Numerators i.e. GCF of 966,151,769 is 1 .

LCM of Denominators means LCM of 524,558,210 as per the given fractions.

LCM of 524,558,210 is 5116860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 966,151,769

GCF of Fractions 966/524,151/558,769/210 is 1/5116860

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

Greatest Common Factor of 966,151,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,151,769 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 966,151,769 . The biggest common factor number is the GCF number.
So the greatest common factor 966,151,769 is 1.

Lets's calculate LCM of 524,558,210

2 524, 558, 210
3 262, 279, 105
262, 93, 35

∴ So the LCM of the given numbers is 2 x 3 x 262 x 93 x 35 = 5116860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5116860

Therefore, the GCF of Fractions 966/524,151/558,769/210 is 1/5116860

Least Common Multiple of 524,558,210 with GCF Formula

Least Common Multiple of 524,558,210 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 524,558,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,558,210) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(524,558,210) x common factors =2 x 6 = 12

LCM(524,558,210) = ( 524 × 558 × 210 ) / 12

LCM(524,558,210) = 61402320 / 12

LCM(524,558,210) = 5116860


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 966/524, 151/558, 769/210

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 966/524, 151/558, 769/210?

Answer: GCF of Numerators as per given numbers 966/524, 151/558, 769/210 is

GCF of Numerators i.e. for 966,151,769 is 1

LCM of denominators i.e. for 524,558,210 is 5116860.

Thus, GCF of Fractions is 1/5116860.Finally, GCF of Fractions for 966/524, 151/558, 769/210 is 1/5116860.