Greatest Common Factor of 20/181, 9670/2868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/181, 9670/2868

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 20/181,9670/2868

Given fractions are 20/181,9670/2868

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 20,9670

Greatest Common Factor of Numerators i.e. GCF of 20,9670 is 10 .

LCM of Denominators means LCM of 181,2868 as per the given fractions.

LCM of 181,2868 is 519108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,9670

GCF of Fractions 20/181,9670/2868 is 10/519108

2 20, 9670
5 10, 4835
2, 967

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 20,9670 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,9670 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 9670

List of positive integer factors of 9670 that divides 9670 without a remainder.

1,2,5,10,967,1934,4835,9670

Greatest Common Factor

We found the factors 20,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 20,9670 is 10.

Lets's calculate LCM of 181,2868

Given numbers has no common factors except 1. So, there LCM is their product i.e 519108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/519108

Therefore, the GCF of Fractions 20/181,9670/2868 is 10/519108

Least Common Multiple of 181,2868 with GCF Formula

Least Common Multiple of 181,2868 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 181,2868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,2868) = 1

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

GCF(181,2868) x common factors =1 x 1 = 1

LCM(181,2868) = ( 181 × 2868 ) / 1

LCM(181,2868) = 519108 / 1

LCM(181,2868) = 519108


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 20/181, 9670/2868

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 20/181, 9670/2868?

Answer: GCF of Numerators as per given numbers 20/181, 9670/2868 is

GCF of Numerators i.e. for 20,9670 is 10

LCM of denominators i.e. for 181,2868 is 519108.

Thus, GCF of Fractions is 10/519108.Finally, GCF of Fractions for 20/181, 9670/2868 is 10/519108.