Greatest Common Factor of 8907/725, 7553/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8907/725, 7553/705

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 8907/725,7553/705

Given fractions are 8907/725,7553/705

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 8907,7553

Greatest Common Factor of Numerators i.e. GCF of 8907,7553 is 1 .

LCM of Denominators means LCM of 725,705 as per the given fractions.

LCM of 725,705 is 102225 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8907,7553

GCF of Fractions 8907/725,7553/705 is 1/102225

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

Greatest Common Factor of 8907,7553 By Matching Biggest Common Factor Method

Greatest Common Factor of 8907,7553 By Matching Biggest Common Factor Method

Factors of 8907

List of positive integer factors of 8907 that divides 8907 without a remainder.

1,3,2969,8907

Factors of 7553

List of positive integer factors of 7553 that divides 7553 without a remainder.

1,7,13,83,91,581,1079,7553

Greatest Common Factor

We found the factors 8907,7553 . The biggest common factor number is the GCF number.
So the greatest common factor 8907,7553 is 1.

Lets's calculate LCM of 725,705

5 725, 705
145, 141

∴ So the LCM of the given numbers is 5 x 145 x 141 = 102225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102225

Therefore, the GCF of Fractions 8907/725,7553/705 is 1/102225

Least Common Multiple of 725,705 with GCF Formula

Least Common Multiple of 725,705 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 725,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,705) = 5

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

GCF(725,705) x common factors =5 x 1 = 5

LCM(725,705) = ( 725 × 705 ) / 5

LCM(725,705) = 511125 / 5

LCM(725,705) = 102225


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 8907/725, 7553/705

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 8907/725, 7553/705?

Answer: GCF of Numerators as per given numbers 8907/725, 7553/705 is

GCF of Numerators i.e. for 8907,7553 is 1

LCM of denominators i.e. for 725,705 is 102225.

Thus, GCF of Fractions is 1/102225.Finally, GCF of Fractions for 8907/725, 7553/705 is 1/102225.