Greatest Common Factor of 42/86, 20/75, 688/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/86, 20/75, 688/755

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 42/86,20/75,688/755

Given fractions are 42/86,20/75,688/755

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 42,20,688

Greatest Common Factor of Numerators i.e. GCF of 42,20,688 is 2 .

LCM of Denominators means LCM of 86,75,755 as per the given fractions.

LCM of 86,75,755 is 973950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,20,688

GCF of Fractions 42/86,20/75,688/755 is 2/973950

2 42, 20, 688
21, 10, 344

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

Greatest Common Factor of 42,20,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,20,688 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

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

Greatest Common Factor

We found the factors 42,20,688 . The biggest common factor number is the GCF number.
So the greatest common factor 42,20,688 is 2.

Lets's calculate LCM of 86,75,755

5 86, 75, 755
86, 15, 151

∴ So the LCM of the given numbers is 5 x 86 x 15 x 151 = 973950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/973950

Therefore, the GCF of Fractions 42/86,20/75,688/755 is 2/973950

Least Common Multiple of 86,75,755 with GCF Formula

Least Common Multiple of 86,75,755 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 86,75,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,75,755) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(86,75,755) x common factors =1 x 5 = 5

LCM(86,75,755) = ( 86 × 75 × 755 ) / 5

LCM(86,75,755) = 4869750 / 5

LCM(86,75,755) = 973950


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 42/86, 20/75, 688/755

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 42/86, 20/75, 688/755?

Answer: GCF of Numerators as per given numbers 42/86, 20/75, 688/755 is

GCF of Numerators i.e. for 42,20,688 is 2

LCM of denominators i.e. for 86,75,755 is 973950.

Thus, GCF of Fractions is 2/973950.Finally, GCF of Fractions for 42/86, 20/75, 688/755 is 2/973950.