Greatest Common Factor of 1008/707, 8915/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 1008/707, 8915/524

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 1008/707,8915/524

Given fractions are 1008/707,8915/524

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 1008,8915

Greatest Common Factor of Numerators i.e. GCF of 1008,8915 is 1 .

LCM of Denominators means LCM of 707,524 as per the given fractions.

LCM of 707,524 is 370468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1008,8915

GCF of Fractions 1008/707,8915/524 is 1/370468

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

Greatest Common Factor of 1008,8915 By Matching Biggest Common Factor Method

Greatest Common Factor of 1008,8915 By Matching Biggest Common Factor Method

Factors of 1008

List of positive integer factors of 1008 that divides 1008 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008

Factors of 8915

List of positive integer factors of 8915 that divides 8915 without a remainder.

1,5,1783,8915

Greatest Common Factor

We found the factors 1008,8915 . The biggest common factor number is the GCF number.
So the greatest common factor 1008,8915 is 1.


Lets's calculate LCM of 707,524

Given numbers has no common factors except 1. So, there LCM is their product i.e 370468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/370468

Therefore, the GCF of Fractions 1008/707,8915/524 is 1/370468

Least Common Multiple of 707,524 with GCF Formula

Least Common Multiple of 707,524 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 707,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,524) = 1

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

GCF(707,524) x common factors =1 x 1 = 1

LCM(707,524) = ( 707 × 524 ) / 1

LCM(707,524) = 370468 / 1

LCM(707,524) = 370468


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 1008/707, 8915/524

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 1008/707, 8915/524?

Answer: GCF of Numerators as per given numbers 1008/707, 8915/524 is

GCF of Numerators i.e. for 1008,8915 is 1

LCM of denominators i.e. for 707,524 is 370468.

Thus, GCF of Fractions is 1/370468.Finally, GCF of Fractions for 1008/707, 8915/524 is 1/370468.