Greatest Common Factor of 4797/31, 5477/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4797/31, 5477/168

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 4797/31,5477/168

Given fractions are 4797/31,5477/168

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 4797,5477

Greatest Common Factor of Numerators i.e. GCF of 4797,5477 is 1 .

LCM of Denominators means LCM of 31,168 as per the given fractions.

LCM of 31,168 is 5208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4797,5477

GCF of Fractions 4797/31,5477/168 is 1/5208

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

Greatest Common Factor of 4797,5477 By Matching Biggest Common Factor Method

Greatest Common Factor of 4797,5477 By Matching Biggest Common Factor Method

Factors of 4797

List of positive integer factors of 4797 that divides 4797 without a remainder.

1,3,9,13,39,41,117,123,369,533,1599,4797

Factors of 5477

List of positive integer factors of 5477 that divides 5477 without a remainder.

1,5477

Greatest Common Factor

We found the factors 4797,5477 . The biggest common factor number is the GCF number.
So the greatest common factor 4797,5477 is 1.

Lets's calculate LCM of 31,168

Given numbers has no common factors except 1. So, there LCM is their product i.e 5208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5208

Therefore, the GCF of Fractions 4797/31,5477/168 is 1/5208

Least Common Multiple of 31,168 with GCF Formula

Least Common Multiple of 31,168 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 31,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,168) = 1

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

GCF(31,168) x common factors =1 x 1 = 1

LCM(31,168) = ( 31 × 168 ) / 1

LCM(31,168) = 5208 / 1

LCM(31,168) = 5208


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 4797/31, 5477/168

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 4797/31, 5477/168?

Answer: GCF of Numerators as per given numbers 4797/31, 5477/168 is

GCF of Numerators i.e. for 4797,5477 is 1

LCM of denominators i.e. for 31,168 is 5208.

Thus, GCF of Fractions is 1/5208.Finally, GCF of Fractions for 4797/31, 5477/168 is 1/5208.