Greatest Common Factor of 3/20, 16/77, 87/695, 724/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/20, 16/77, 87/695, 724/990

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 3/20,16/77,87/695,724/990

Given fractions are 3/20,16/77,87/695,724/990

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 3,16,87,724

Greatest Common Factor of Numerators i.e. GCF of 3,16,87,724 is 1 .

LCM of Denominators means LCM of 20,77,695,990 as per the given fractions.

LCM of 20,77,695,990 is 1926540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,16,87,724

GCF of Fractions 3/20,16/77,87/695,724/990 is 1/1926540

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3,16,87,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,16,87,724 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 3,16,87,724 . The biggest common factor number is the GCF number.
So the greatest common factor 3,16,87,724 is 1.

Lets's calculate LCM of 20,77,695,990

2 20, 77, 695, 990
5 10, 77, 695, 495
11 2, 77, 139, 99
2, 7, 139, 9

∴ So the LCM of the given numbers is 2 x 5 x 11 x 2 x 7 x 139 x 9 = 1926540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1926540

Therefore, the GCF of Fractions 3/20,16/77,87/695,724/990 is 1/1926540

Least Common Multiple of 20,77,695,990 with GCF Formula

Least Common Multiple of 20,77,695,990 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 20,77,695,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,77,695,990) = 1

common factors(in case of two or more numbers have common factors) = 550

GCF(20,77,695,990) x common factors =1 x 550 = 550

LCM(20,77,695,990) = ( 20 × 77 × 695 × 990 ) / 550

LCM(20,77,695,990) = 1059597000 / 550

LCM(20,77,695,990) = 1926540


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 3/20, 16/77, 87/695, 724/990

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 3/20, 16/77, 87/695, 724/990?

Answer: GCF of Numerators as per given numbers 3/20, 16/77, 87/695, 724/990 is

GCF of Numerators i.e. for 3,16,87,724 is 1

LCM of denominators i.e. for 20,77,695,990 is 1926540.

Thus, GCF of Fractions is 1/1926540.Finally, GCF of Fractions for 3/20, 16/77, 87/695, 724/990 is 1/1926540.