Greatest Common Factor of 971/541, 411/768, 993/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 971/541, 411/768, 993/172

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 971/541,411/768,993/172

Given fractions are 971/541,411/768,993/172

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 971,411,993

Greatest Common Factor of Numerators i.e. GCF of 971,411,993 is 1 .

LCM of Denominators means LCM of 541,768,172 as per the given fractions.

LCM of 541,768,172 is 17865984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 971,411,993

GCF of Fractions 971/541,411/768,993/172 is 1/17865984

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

Greatest Common Factor of 971,411,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 971,411,993 By Matching Biggest Common Factor Method

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 971,411,993 . The biggest common factor number is the GCF number.
So the greatest common factor 971,411,993 is 1.

Lets's calculate LCM of 541,768,172

2 541, 768, 172
2 541, 384, 86
541, 192, 43

∴ So the LCM of the given numbers is 2 x 2 x 541 x 192 x 43 = 17865984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17865984

Therefore, the GCF of Fractions 971/541,411/768,993/172 is 1/17865984

Least Common Multiple of 541,768,172 with GCF Formula

Least Common Multiple of 541,768,172 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 541,768,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,768,172) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(541,768,172) x common factors =1 x 4 = 4

LCM(541,768,172) = ( 541 × 768 × 172 ) / 4

LCM(541,768,172) = 71463936 / 4

LCM(541,768,172) = 17865984


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 971/541, 411/768, 993/172

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 971/541, 411/768, 993/172?

Answer: GCF of Numerators as per given numbers 971/541, 411/768, 993/172 is

GCF of Numerators i.e. for 971,411,993 is 1

LCM of denominators i.e. for 541,768,172 is 17865984.

Thus, GCF of Fractions is 1/17865984.Finally, GCF of Fractions for 971/541, 411/768, 993/172 is 1/17865984.