Greatest Common Factor of 5637/312, 7571/3267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5637/312, 7571/3267

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 5637/312,7571/3267

Given fractions are 5637/312,7571/3267

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 5637,7571

Greatest Common Factor of Numerators i.e. GCF of 5637,7571 is 1 .

LCM of Denominators means LCM of 312,3267 as per the given fractions.

LCM of 312,3267 is 339768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5637,7571

GCF of Fractions 5637/312,7571/3267 is 1/339768

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

Greatest Common Factor of 5637,7571 By Matching Biggest Common Factor Method

Greatest Common Factor of 5637,7571 By Matching Biggest Common Factor Method

Factors of 5637

List of positive integer factors of 5637 that divides 5637 without a remainder.

1,3,1879,5637

Factors of 7571

List of positive integer factors of 7571 that divides 7571 without a remainder.

1,67,113,7571

Greatest Common Factor

We found the factors 5637,7571 . The biggest common factor number is the GCF number.
So the greatest common factor 5637,7571 is 1.

Lets's calculate LCM of 312,3267

3 312, 3267
104, 1089

∴ So the LCM of the given numbers is 3 x 104 x 1089 = 339768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339768

Therefore, the GCF of Fractions 5637/312,7571/3267 is 1/339768

Least Common Multiple of 312,3267 with GCF Formula

Least Common Multiple of 312,3267 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 312,3267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,3267) = 3

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

GCF(312,3267) x common factors =3 x 1 = 3

LCM(312,3267) = ( 312 × 3267 ) / 3

LCM(312,3267) = 1019304 / 3

LCM(312,3267) = 339768


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 5637/312, 7571/3267

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 5637/312, 7571/3267?

Answer: GCF of Numerators as per given numbers 5637/312, 7571/3267 is

GCF of Numerators i.e. for 5637,7571 is 1

LCM of denominators i.e. for 312,3267 is 339768.

Thus, GCF of Fractions is 1/339768.Finally, GCF of Fractions for 5637/312, 7571/3267 is 1/339768.