Greatest Common Factor of 7625/88, 8607/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7625/88, 8607/126

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 7625/88,8607/126

Given fractions are 7625/88,8607/126

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 7625,8607

Greatest Common Factor of Numerators i.e. GCF of 7625,8607 is 1 .

LCM of Denominators means LCM of 88,126 as per the given fractions.

LCM of 88,126 is 5544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7625,8607

GCF of Fractions 7625/88,8607/126 is 1/5544

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

Greatest Common Factor of 7625,8607 By Matching Biggest Common Factor Method

Greatest Common Factor of 7625,8607 By Matching Biggest Common Factor Method

Factors of 7625

List of positive integer factors of 7625 that divides 7625 without a remainder.

1,5,25,61,125,305,1525,7625

Factors of 8607

List of positive integer factors of 8607 that divides 8607 without a remainder.

1,3,19,57,151,453,2869,8607

Greatest Common Factor

We found the factors 7625,8607 . The biggest common factor number is the GCF number.
So the greatest common factor 7625,8607 is 1.

Lets's calculate LCM of 88,126

2 88, 126
44, 63

∴ So the LCM of the given numbers is 2 x 44 x 63 = 5544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5544

Therefore, the GCF of Fractions 7625/88,8607/126 is 1/5544

Least Common Multiple of 88,126 with GCF Formula

Least Common Multiple of 88,126 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 88,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,126) = 2

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

GCF(88,126) x common factors =2 x 1 = 2

LCM(88,126) = ( 88 × 126 ) / 2

LCM(88,126) = 11088 / 2

LCM(88,126) = 5544


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 7625/88, 8607/126

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 7625/88, 8607/126?

Answer: GCF of Numerators as per given numbers 7625/88, 8607/126 is

GCF of Numerators i.e. for 7625,8607 is 1

LCM of denominators i.e. for 88,126 is 5544.

Thus, GCF of Fractions is 1/5544.Finally, GCF of Fractions for 7625/88, 8607/126 is 1/5544.