Greatest Common Factor of 687/715, 6840/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 687/715, 6840/525

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 687/715,6840/525

Given fractions are 687/715,6840/525

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 687,6840

Greatest Common Factor of Numerators i.e. GCF of 687,6840 is 3 .

LCM of Denominators means LCM of 715,525 as per the given fractions.

LCM of 715,525 is 75075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 687,6840

GCF of Fractions 687/715,6840/525 is 3/75075

3 687, 6840
229, 2280

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 687,6840 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,6840 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 6840

List of positive integer factors of 6840 that divides 6840 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,19,20,24,30,36,38,40,45,57,60,72,76,90,95,114,120,152,171,180,190,228,285,342,360,380,456,570,684,760,855,1140,1368,1710,2280,3420,6840

Greatest Common Factor

We found the factors 687,6840 . The biggest common factor number is the GCF number.
So the greatest common factor 687,6840 is 3.

Lets's calculate LCM of 715,525

5 715, 525
143, 105

∴ So the LCM of the given numbers is 5 x 143 x 105 = 75075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75075

Therefore, the GCF of Fractions 687/715,6840/525 is 3/75075

Least Common Multiple of 715,525 with GCF Formula

Least Common Multiple of 715,525 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 715,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,525) = 5

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

GCF(715,525) x common factors =5 x 1 = 5

LCM(715,525) = ( 715 × 525 ) / 5

LCM(715,525) = 375375 / 5

LCM(715,525) = 75075


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 687/715, 6840/525

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 687/715, 6840/525?

Answer: GCF of Numerators as per given numbers 687/715, 6840/525 is

GCF of Numerators i.e. for 687,6840 is 3

LCM of denominators i.e. for 715,525 is 75075.

Thus, GCF of Fractions is 3/75075.Finally, GCF of Fractions for 687/715, 6840/525 is 3/75075.