Greatest Common Factor of 7571/691, 7664/7053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7571/691, 7664/7053

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 7571/691,7664/7053

Given fractions are 7571/691,7664/7053

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 7571,7664

Greatest Common Factor of Numerators i.e. GCF of 7571,7664 is 1 .

LCM of Denominators means LCM of 691,7053 as per the given fractions.

LCM of 691,7053 is 4873623 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7571,7664

GCF of Fractions 7571/691,7664/7053 is 1/4873623

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

Greatest Common Factor of 7571,7664 By Matching Biggest Common Factor Method

Greatest Common Factor of 7571,7664 By Matching Biggest Common Factor Method

Factors of 7571

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

1,67,113,7571

Factors of 7664

List of positive integer factors of 7664 that divides 7664 without a remainder.

1,2,4,8,16,479,958,1916,3832,7664

Greatest Common Factor

We found the factors 7571,7664 . The biggest common factor number is the GCF number.
So the greatest common factor 7571,7664 is 1.

Lets's calculate LCM of 691,7053

Given numbers has no common factors except 1. So, there LCM is their product i.e 4873623

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4873623

Therefore, the GCF of Fractions 7571/691,7664/7053 is 1/4873623

Least Common Multiple of 691,7053 with GCF Formula

Least Common Multiple of 691,7053 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 691,7053 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(691,7053) = 1

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

GCF(691,7053) x common factors =1 x 1 = 1

LCM(691,7053) = ( 691 × 7053 ) / 1

LCM(691,7053) = 4873623 / 1

LCM(691,7053) = 4873623


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 7571/691, 7664/7053

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 7571/691, 7664/7053?

Answer: GCF of Numerators as per given numbers 7571/691, 7664/7053 is

GCF of Numerators i.e. for 7571,7664 is 1

LCM of denominators i.e. for 691,7053 is 4873623.

Thus, GCF of Fractions is 1/4873623.Finally, GCF of Fractions for 7571/691, 7664/7053 is 1/4873623.