Greatest Common Factor of 20/77, 70/228, 135/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/77, 70/228, 135/987

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 20/77,70/228,135/987

Given fractions are 20/77,70/228,135/987

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 20,70,135

Greatest Common Factor of Numerators i.e. GCF of 20,70,135 is 5 .

LCM of Denominators means LCM of 77,228,987 as per the given fractions.

LCM of 77,228,987 is 825132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,70,135

GCF of Fractions 20/77,70/228,135/987 is 5/825132

5 20, 70, 135
4, 14, 27

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 20,70,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,70,135 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 20,70,135 . The biggest common factor number is the GCF number.
So the greatest common factor 20,70,135 is 5.

Lets's calculate LCM of 77,228,987

3 77, 228, 987
7 77, 76, 329
11, 76, 47

∴ So the LCM of the given numbers is 3 x 7 x 11 x 76 x 47 = 825132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/825132

Therefore, the GCF of Fractions 20/77,70/228,135/987 is 5/825132

Least Common Multiple of 77,228,987 with GCF Formula

Least Common Multiple of 77,228,987 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 77,228,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,228,987) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(77,228,987) x common factors =1 x 21 = 21

LCM(77,228,987) = ( 77 × 228 × 987 ) / 21

LCM(77,228,987) = 17327772 / 21

LCM(77,228,987) = 825132


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 20/77, 70/228, 135/987

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 20/77, 70/228, 135/987?

Answer: GCF of Numerators as per given numbers 20/77, 70/228, 135/987 is

GCF of Numerators i.e. for 20,70,135 is 5

LCM of denominators i.e. for 77,228,987 is 825132.

Thus, GCF of Fractions is 5/825132.Finally, GCF of Fractions for 20/77, 70/228, 135/987 is 5/825132.