Greatest Common Factor of 7975/770, 5748/8591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7975/770, 5748/8591

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 7975/770,5748/8591

Given fractions are 7975/770,5748/8591

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 7975,5748

Greatest Common Factor of Numerators i.e. GCF of 7975,5748 is 1 .

LCM of Denominators means LCM of 770,8591 as per the given fractions.

LCM of 770,8591 is 601370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7975,5748

GCF of Fractions 7975/770,5748/8591 is 1/601370

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

Greatest Common Factor of 7975,5748 By Matching Biggest Common Factor Method

Greatest Common Factor of 7975,5748 By Matching Biggest Common Factor Method

Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1,5,11,25,29,55,145,275,319,725,1595,7975

Factors of 5748

List of positive integer factors of 5748 that divides 5748 without a remainder.

1,2,3,4,6,12,479,958,1437,1916,2874,5748

Greatest Common Factor

We found the factors 7975,5748 . The biggest common factor number is the GCF number.
So the greatest common factor 7975,5748 is 1.

Lets's calculate LCM of 770,8591

11 770, 8591
70, 781

∴ So the LCM of the given numbers is 11 x 70 x 781 = 601370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/601370

Therefore, the GCF of Fractions 7975/770,5748/8591 is 1/601370

Least Common Multiple of 770,8591 with GCF Formula

Least Common Multiple of 770,8591 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 770,8591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,8591) = 11

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

GCF(770,8591) x common factors =11 x 1 = 11

LCM(770,8591) = ( 770 × 8591 ) / 11

LCM(770,8591) = 6615070 / 11

LCM(770,8591) = 601370


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 7975/770, 5748/8591

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 7975/770, 5748/8591?

Answer: GCF of Numerators as per given numbers 7975/770, 5748/8591 is

GCF of Numerators i.e. for 7975,5748 is 1

LCM of denominators i.e. for 770,8591 is 601370.

Thus, GCF of Fractions is 1/601370.Finally, GCF of Fractions for 7975/770, 5748/8591 is 1/601370.