Greatest Common Factor of 4884/97, 4311/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4884/97, 4311/732

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 4884/97,4311/732

Given fractions are 4884/97,4311/732

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 4884,4311

Greatest Common Factor of Numerators i.e. GCF of 4884,4311 is 3 .

LCM of Denominators means LCM of 97,732 as per the given fractions.

LCM of 97,732 is 71004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4884,4311

GCF of Fractions 4884/97,4311/732 is 3/71004

3 4884, 4311
1628, 1437

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4884,4311 By Matching Biggest Common Factor Method

Greatest Common Factor of 4884,4311 By Matching Biggest Common Factor Method

Factors of 4884

List of positive integer factors of 4884 that divides 4884 without a remainder.

1,2,3,4,6,11,12,22,33,37,44,66,74,111,132,148,222,407,444,814,1221,1628,2442,4884

Factors of 4311

List of positive integer factors of 4311 that divides 4311 without a remainder.

1,3,9,479,1437,4311

Greatest Common Factor

We found the factors 4884,4311 . The biggest common factor number is the GCF number.
So the greatest common factor 4884,4311 is 3.

Lets's calculate LCM of 97,732

Given numbers has no common factors except 1. So, there LCM is their product i.e 71004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/71004

Therefore, the GCF of Fractions 4884/97,4311/732 is 3/71004

Least Common Multiple of 97,732 with GCF Formula

Least Common Multiple of 97,732 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 97,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,732) = 1

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

GCF(97,732) x common factors =1 x 1 = 1

LCM(97,732) = ( 97 × 732 ) / 1

LCM(97,732) = 71004 / 1

LCM(97,732) = 71004


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 4884/97, 4311/732

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 4884/97, 4311/732?

Answer: GCF of Numerators as per given numbers 4884/97, 4311/732 is

GCF of Numerators i.e. for 4884,4311 is 3

LCM of denominators i.e. for 97,732 is 71004.

Thus, GCF of Fractions is 3/71004.Finally, GCF of Fractions for 4884/97, 4311/732 is 3/71004.