Greatest Common Factor of 20/93, 98/78, 870/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/93, 98/78, 870/168

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 20/93,98/78,870/168

Given fractions are 20/93,98/78,870/168

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 20,98,870

Greatest Common Factor of Numerators i.e. GCF of 20,98,870 is 2 .

LCM of Denominators means LCM of 93,78,168 as per the given fractions.

LCM of 93,78,168 is 67704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,98,870

GCF of Fractions 20/93,98/78,870/168 is 2/67704

2 20, 98, 870
10, 49, 435

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

Greatest Common Factor of 20,98,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,98,870 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 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 20,98,870 . The biggest common factor number is the GCF number.
So the greatest common factor 20,98,870 is 2.

Lets's calculate LCM of 93,78,168

2 93, 78, 168
3 93, 39, 84
31, 13, 28

∴ So the LCM of the given numbers is 2 x 3 x 31 x 13 x 28 = 67704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67704

Therefore, the GCF of Fractions 20/93,98/78,870/168 is 2/67704

Least Common Multiple of 93,78,168 with GCF Formula

Least Common Multiple of 93,78,168 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 93,78,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,78,168) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(93,78,168) x common factors =3 x 6 = 18

LCM(93,78,168) = ( 93 × 78 × 168 ) / 18

LCM(93,78,168) = 1218672 / 18

LCM(93,78,168) = 67704


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 20/93, 98/78, 870/168

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 20/93, 98/78, 870/168?

Answer: GCF of Numerators as per given numbers 20/93, 98/78, 870/168 is

GCF of Numerators i.e. for 20,98,870 is 2

LCM of denominators i.e. for 93,78,168 is 67704.

Thus, GCF of Fractions is 2/67704.Finally, GCF of Fractions for 20/93, 98/78, 870/168 is 2/67704.