Greatest Common Factor of 71/320, 407/755, 537/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/320, 407/755, 537/886

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 71/320,407/755,537/886

Given fractions are 71/320,407/755,537/886

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 71,407,537

Greatest Common Factor of Numerators i.e. GCF of 71,407,537 is 1 .

LCM of Denominators means LCM of 320,755,886 as per the given fractions.

LCM of 320,755,886 is 21405760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,407,537

GCF of Fractions 71/320,407/755,537/886 is 1/21405760

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

Greatest Common Factor of 71,407,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,407,537 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 71,407,537 . The biggest common factor number is the GCF number.
So the greatest common factor 71,407,537 is 1.

Lets's calculate LCM of 320,755,886

2 320, 755, 886
5 160, 755, 443
32, 151, 443

∴ So the LCM of the given numbers is 2 x 5 x 32 x 151 x 443 = 21405760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21405760

Therefore, the GCF of Fractions 71/320,407/755,537/886 is 1/21405760

Least Common Multiple of 320,755,886 with GCF Formula

Least Common Multiple of 320,755,886 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 320,755,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,755,886) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(320,755,886) x common factors =1 x 10 = 10

LCM(320,755,886) = ( 320 × 755 × 886 ) / 10

LCM(320,755,886) = 214057600 / 10

LCM(320,755,886) = 21405760


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 71/320, 407/755, 537/886

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 71/320, 407/755, 537/886?

Answer: GCF of Numerators as per given numbers 71/320, 407/755, 537/886 is

GCF of Numerators i.e. for 71,407,537 is 1

LCM of denominators i.e. for 320,755,886 is 21405760.

Thus, GCF of Fractions is 1/21405760.Finally, GCF of Fractions for 71/320, 407/755, 537/886 is 1/21405760.