Greatest Common Factor of 2991/53, 3173/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2991/53, 3173/952

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 2991/53,3173/952

Given fractions are 2991/53,3173/952

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 2991,3173

Greatest Common Factor of Numerators i.e. GCF of 2991,3173 is 1 .

LCM of Denominators means LCM of 53,952 as per the given fractions.

LCM of 53,952 is 50456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2991,3173

GCF of Fractions 2991/53,3173/952 is 1/50456

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

Greatest Common Factor of 2991,3173 By Matching Biggest Common Factor Method

Greatest Common Factor of 2991,3173 By Matching Biggest Common Factor Method

Factors of 2991

List of positive integer factors of 2991 that divides 2991 without a remainder.

1,3,997,2991

Factors of 3173

List of positive integer factors of 3173 that divides 3173 without a remainder.

1,19,167,3173

Greatest Common Factor

We found the factors 2991,3173 . The biggest common factor number is the GCF number.
So the greatest common factor 2991,3173 is 1.

Lets's calculate LCM of 53,952

Given numbers has no common factors except 1. So, there LCM is their product i.e 50456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50456

Therefore, the GCF of Fractions 2991/53,3173/952 is 1/50456

Least Common Multiple of 53,952 with GCF Formula

Least Common Multiple of 53,952 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 53,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,952) = 1

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

GCF(53,952) x common factors =1 x 1 = 1

LCM(53,952) = ( 53 × 952 ) / 1

LCM(53,952) = 50456 / 1

LCM(53,952) = 50456


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 2991/53, 3173/952

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 2991/53, 3173/952?

Answer: GCF of Numerators as per given numbers 2991/53, 3173/952 is

GCF of Numerators i.e. for 2991,3173 is 1

LCM of denominators i.e. for 53,952 is 50456.

Thus, GCF of Fractions is 1/50456.Finally, GCF of Fractions for 2991/53, 3173/952 is 1/50456.