Greatest Common Factor of 9923/932, 1524/3751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9923/932, 1524/3751

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 9923/932,1524/3751

Given fractions are 9923/932,1524/3751

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 9923,1524

Greatest Common Factor of Numerators i.e. GCF of 9923,1524 is 1 .

LCM of Denominators means LCM of 932,3751 as per the given fractions.

LCM of 932,3751 is 3495932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9923,1524

GCF of Fractions 9923/932,1524/3751 is 1/3495932

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

Greatest Common Factor of 9923,1524 By Matching Biggest Common Factor Method

Greatest Common Factor of 9923,1524 By Matching Biggest Common Factor Method

Factors of 9923

List of positive integer factors of 9923 that divides 9923 without a remainder.

1,9923

Factors of 1524

List of positive integer factors of 1524 that divides 1524 without a remainder.

1,2,3,4,6,12,127,254,381,508,762,1524

Greatest Common Factor

We found the factors 9923,1524 . The biggest common factor number is the GCF number.
So the greatest common factor 9923,1524 is 1.

Lets's calculate LCM of 932,3751

Given numbers has no common factors except 1. So, there LCM is their product i.e 3495932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3495932

Therefore, the GCF of Fractions 9923/932,1524/3751 is 1/3495932

Least Common Multiple of 932,3751 with GCF Formula

Least Common Multiple of 932,3751 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 932,3751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,3751) = 1

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

GCF(932,3751) x common factors =1 x 1 = 1

LCM(932,3751) = ( 932 × 3751 ) / 1

LCM(932,3751) = 3495932 / 1

LCM(932,3751) = 3495932


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 9923/932, 1524/3751

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 9923/932, 1524/3751?

Answer: GCF of Numerators as per given numbers 9923/932, 1524/3751 is

GCF of Numerators i.e. for 9923,1524 is 1

LCM of denominators i.e. for 932,3751 is 3495932.

Thus, GCF of Fractions is 1/3495932.Finally, GCF of Fractions for 9923/932, 1524/3751 is 1/3495932.