Greatest Common Factor of 688/85, 742/8520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 688/85, 742/8520

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 688/85,742/8520

Given fractions are 688/85,742/8520

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 688,742

Greatest Common Factor of Numerators i.e. GCF of 688,742 is 2 .

LCM of Denominators means LCM of 85,8520 as per the given fractions.

LCM of 85,8520 is 144840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 688,742

GCF of Fractions 688/85,742/8520 is 2/144840

2 688, 742
344, 371

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 688,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,742 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 688,742 . The biggest common factor number is the GCF number.
So the greatest common factor 688,742 is 2.

Lets's calculate LCM of 85,8520

5 85, 8520
17, 1704

∴ So the LCM of the given numbers is 5 x 17 x 1704 = 144840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144840

Therefore, the GCF of Fractions 688/85,742/8520 is 2/144840

Least Common Multiple of 85,8520 with GCF Formula

Least Common Multiple of 85,8520 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 85,8520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,8520) = 5

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

GCF(85,8520) x common factors =5 x 1 = 5

LCM(85,8520) = ( 85 × 8520 ) / 5

LCM(85,8520) = 724200 / 5

LCM(85,8520) = 144840


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 688/85, 742/8520

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 688/85, 742/8520?

Answer: GCF of Numerators as per given numbers 688/85, 742/8520 is

GCF of Numerators i.e. for 688,742 is 2

LCM of denominators i.e. for 85,8520 is 144840.

Thus, GCF of Fractions is 2/144840.Finally, GCF of Fractions for 688/85, 742/8520 is 2/144840.