Greatest Common Factor of 8715/682, 7485/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8715/682, 7485/508

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 8715/682,7485/508

Given fractions are 8715/682,7485/508

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 8715,7485

Greatest Common Factor of Numerators i.e. GCF of 8715,7485 is 15 .

LCM of Denominators means LCM of 682,508 as per the given fractions.

LCM of 682,508 is 173228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8715,7485

GCF of Fractions 8715/682,7485/508 is 15/173228

3 8715, 7485
5 2905, 2495
581, 499

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 8715,7485 By Matching Biggest Common Factor Method

Greatest Common Factor of 8715,7485 By Matching Biggest Common Factor Method

Factors of 8715

List of positive integer factors of 8715 that divides 8715 without a remainder.

1,3,5,7,15,21,35,83,105,249,415,581,1245,1743,2905,8715

Factors of 7485

List of positive integer factors of 7485 that divides 7485 without a remainder.

1,3,5,15,499,1497,2495,7485

Greatest Common Factor

We found the factors 8715,7485 . The biggest common factor number is the GCF number.
So the greatest common factor 8715,7485 is 15.

Lets's calculate LCM of 682,508

2 682, 508
341, 254

∴ So the LCM of the given numbers is 2 x 341 x 254 = 173228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/173228

Therefore, the GCF of Fractions 8715/682,7485/508 is 15/173228

Least Common Multiple of 682,508 with GCF Formula

Least Common Multiple of 682,508 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 682,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,508) = 2

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

GCF(682,508) x common factors =2 x 1 = 2

LCM(682,508) = ( 682 × 508 ) / 2

LCM(682,508) = 346456 / 2

LCM(682,508) = 173228


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 8715/682, 7485/508

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 8715/682, 7485/508?

Answer: GCF of Numerators as per given numbers 8715/682, 7485/508 is

GCF of Numerators i.e. for 8715,7485 is 15

LCM of denominators i.e. for 682,508 is 173228.

Thus, GCF of Fractions is 15/173228.Finally, GCF of Fractions for 8715/682, 7485/508 is 15/173228.