Greatest Common Factor of 88/672, 715/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/672, 715/740

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 88/672,715/740

Given fractions are 88/672,715/740

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 88,715

Greatest Common Factor of Numerators i.e. GCF of 88,715 is 11 .

LCM of Denominators means LCM of 672,740 as per the given fractions.

LCM of 672,740 is 124320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,715

GCF of Fractions 88/672,715/740 is 11/124320

11 88, 715
8, 65

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 88,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,715 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 88,715 . The biggest common factor number is the GCF number.
So the greatest common factor 88,715 is 11.

Lets's calculate LCM of 672,740

2 672, 740
2 336, 370
168, 185

∴ So the LCM of the given numbers is 2 x 2 x 168 x 185 = 124320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/124320

Therefore, the GCF of Fractions 88/672,715/740 is 11/124320

Least Common Multiple of 672,740 with GCF Formula

Least Common Multiple of 672,740 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 672,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,740) = 4

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

GCF(672,740) x common factors =4 x 1 = 4

LCM(672,740) = ( 672 × 740 ) / 4

LCM(672,740) = 497280 / 4

LCM(672,740) = 124320


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 88/672, 715/740

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 88/672, 715/740?

Answer: GCF of Numerators as per given numbers 88/672, 715/740 is

GCF of Numerators i.e. for 88,715 is 11

LCM of denominators i.e. for 672,740 is 124320.

Thus, GCF of Fractions is 11/124320.Finally, GCF of Fractions for 88/672, 715/740 is 11/124320.