Greatest Common Factor of 4371/96, 3875/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4371/96, 3875/247

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 4371/96,3875/247

Given fractions are 4371/96,3875/247

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 4371,3875

Greatest Common Factor of Numerators i.e. GCF of 4371,3875 is 31 .

LCM of Denominators means LCM of 96,247 as per the given fractions.

LCM of 96,247 is 23712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4371,3875

GCF of Fractions 4371/96,3875/247 is 31/23712

31 4371, 3875
141, 125

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 4371,3875 By Matching Biggest Common Factor Method

Greatest Common Factor of 4371,3875 By Matching Biggest Common Factor Method

Factors of 4371

List of positive integer factors of 4371 that divides 4371 without a remainder.

1,3,31,47,93,141,1457,4371

Factors of 3875

List of positive integer factors of 3875 that divides 3875 without a remainder.

1,5,25,31,125,155,775,3875

Greatest Common Factor

We found the factors 4371,3875 . The biggest common factor number is the GCF number.
So the greatest common factor 4371,3875 is 31.

Lets's calculate LCM of 96,247

Given numbers has no common factors except 1. So, there LCM is their product i.e 23712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/23712

Therefore, the GCF of Fractions 4371/96,3875/247 is 31/23712

Least Common Multiple of 96,247 with GCF Formula

Least Common Multiple of 96,247 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 96,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,247) = 1

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

GCF(96,247) x common factors =1 x 1 = 1

LCM(96,247) = ( 96 × 247 ) / 1

LCM(96,247) = 23712 / 1

LCM(96,247) = 23712


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 4371/96, 3875/247

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 4371/96, 3875/247?

Answer: GCF of Numerators as per given numbers 4371/96, 3875/247 is

GCF of Numerators i.e. for 4371,3875 is 31

LCM of denominators i.e. for 96,247 is 23712.

Thus, GCF of Fractions is 31/23712.Finally, GCF of Fractions for 4371/96, 3875/247 is 31/23712.