Greatest Common Factor of 9620/659, 3770/2169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9620/659, 3770/2169

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 9620/659,3770/2169

Given fractions are 9620/659,3770/2169

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 9620,3770

Greatest Common Factor of Numerators i.e. GCF of 9620,3770 is 130 .

LCM of Denominators means LCM of 659,2169 as per the given fractions.

LCM of 659,2169 is 1429371 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9620,3770

GCF of Fractions 9620/659,3770/2169 is 130/1429371

2 9620, 3770
5 4810, 1885
13 962, 377
74, 29

∴ So the GCF of the given numbers is 2 x 5 x 13 = 130

Greatest Common Factor of 9620,3770 By Matching Biggest Common Factor Method

Greatest Common Factor of 9620,3770 By Matching Biggest Common Factor Method

Factors of 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620

Factors of 3770

List of positive integer factors of 3770 that divides 3770 without a remainder.

1,2,5,10,13,26,29,58,65,130,145,290,377,754,1885,3770

Greatest Common Factor

We found the factors 9620,3770 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,3770 is 130.

Lets's calculate LCM of 659,2169

Given numbers has no common factors except 1. So, there LCM is their product i.e 1429371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 130/1429371

Therefore, the GCF of Fractions 9620/659,3770/2169 is 130/1429371

Least Common Multiple of 659,2169 with GCF Formula

Least Common Multiple of 659,2169 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 659,2169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,2169) = 1

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

GCF(659,2169) x common factors =1 x 1 = 1

LCM(659,2169) = ( 659 × 2169 ) / 1

LCM(659,2169) = 1429371 / 1

LCM(659,2169) = 1429371


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 9620/659, 3770/2169

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 9620/659, 3770/2169?

Answer: GCF of Numerators as per given numbers 9620/659, 3770/2169 is

GCF of Numerators i.e. for 9620,3770 is 130

LCM of denominators i.e. for 659,2169 is 1429371.

Thus, GCF of Fractions is 130/1429371.Finally, GCF of Fractions for 9620/659, 3770/2169 is 130/1429371.