Greatest Common Factor of 9931/924, 3463/8976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9931/924, 3463/8976

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 9931/924,3463/8976

Given fractions are 9931/924,3463/8976

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 9931,3463

Greatest Common Factor of Numerators i.e. GCF of 9931,3463 is 1 .

LCM of Denominators means LCM of 924,8976 as per the given fractions.

LCM of 924,8976 is 62832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9931,3463

GCF of Fractions 9931/924,3463/8976 is 1/62832

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

Greatest Common Factor of 9931,3463 By Matching Biggest Common Factor Method

Greatest Common Factor of 9931,3463 By Matching Biggest Common Factor Method

Factors of 9931

List of positive integer factors of 9931 that divides 9931 without a remainder.

1,9931

Factors of 3463

List of positive integer factors of 3463 that divides 3463 without a remainder.

1,3463

Greatest Common Factor

We found the factors 9931,3463 . The biggest common factor number is the GCF number.
So the greatest common factor 9931,3463 is 1.

Lets's calculate LCM of 924,8976

2 924, 8976
2 462, 4488
3 231, 2244
11 77, 748
7, 68

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 7 x 68 = 62832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62832

Therefore, the GCF of Fractions 9931/924,3463/8976 is 1/62832

Least Common Multiple of 924,8976 with GCF Formula

Least Common Multiple of 924,8976 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 924,8976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,8976) = 132

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

GCF(924,8976) x common factors =132 x 1 = 132

LCM(924,8976) = ( 924 × 8976 ) / 132

LCM(924,8976) = 8293824 / 132

LCM(924,8976) = 62832


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 9931/924, 3463/8976

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 9931/924, 3463/8976?

Answer: GCF of Numerators as per given numbers 9931/924, 3463/8976 is

GCF of Numerators i.e. for 9931,3463 is 1

LCM of denominators i.e. for 924,8976 is 62832.

Thus, GCF of Fractions is 1/62832.Finally, GCF of Fractions for 9931/924, 3463/8976 is 1/62832.