Greatest Common Factor of 8647/507, 7649/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8647/507, 7649/707

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 8647/507,7649/707

Given fractions are 8647/507,7649/707

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 8647,7649

Greatest Common Factor of Numerators i.e. GCF of 8647,7649 is 1 .

LCM of Denominators means LCM of 507,707 as per the given fractions.

LCM of 507,707 is 358449 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8647,7649

GCF of Fractions 8647/507,7649/707 is 1/358449

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

Greatest Common Factor of 8647,7649 By Matching Biggest Common Factor Method

Greatest Common Factor of 8647,7649 By Matching Biggest Common Factor Method

Factors of 8647

List of positive integer factors of 8647 that divides 8647 without a remainder.

1,8647

Factors of 7649

List of positive integer factors of 7649 that divides 7649 without a remainder.

1,7649

Greatest Common Factor

We found the factors 8647,7649 . The biggest common factor number is the GCF number.
So the greatest common factor 8647,7649 is 1.

Lets's calculate LCM of 507,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 358449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358449

Therefore, the GCF of Fractions 8647/507,7649/707 is 1/358449

Least Common Multiple of 507,707 with GCF Formula

Least Common Multiple of 507,707 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 507,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,707) = 1

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

GCF(507,707) x common factors =1 x 1 = 1

LCM(507,707) = ( 507 × 707 ) / 1

LCM(507,707) = 358449 / 1

LCM(507,707) = 358449


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 8647/507, 7649/707

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 8647/507, 7649/707?

Answer: GCF of Numerators as per given numbers 8647/507, 7649/707 is

GCF of Numerators i.e. for 8647,7649 is 1

LCM of denominators i.e. for 507,707 is 358449.

Thus, GCF of Fractions is 1/358449.Finally, GCF of Fractions for 8647/507, 7649/707 is 1/358449.