Greatest Common Factor of 976/927, 429/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 976/927, 429/296

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 976/927,429/296

Given fractions are 976/927,429/296

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 976,429

Greatest Common Factor of Numerators i.e. GCF of 976,429 is 1 .

LCM of Denominators means LCM of 927,296 as per the given fractions.

LCM of 927,296 is 274392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 976,429

GCF of Fractions 976/927,429/296 is 1/274392

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

Greatest Common Factor of 976,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,429 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 976,429 . The biggest common factor number is the GCF number.
So the greatest common factor 976,429 is 1.

Lets's calculate LCM of 927,296

Given numbers has no common factors except 1. So, there LCM is their product i.e 274392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274392

Therefore, the GCF of Fractions 976/927,429/296 is 1/274392

Least Common Multiple of 927,296 with GCF Formula

Least Common Multiple of 927,296 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 927,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,296) = 1

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

GCF(927,296) x common factors =1 x 1 = 1

LCM(927,296) = ( 927 × 296 ) / 1

LCM(927,296) = 274392 / 1

LCM(927,296) = 274392


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 976/927, 429/296

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 976/927, 429/296?

Answer: GCF of Numerators as per given numbers 976/927, 429/296 is

GCF of Numerators i.e. for 976,429 is 1

LCM of denominators i.e. for 927,296 is 274392.

Thus, GCF of Fractions is 1/274392.Finally, GCF of Fractions for 976/927, 429/296 is 1/274392.