Greatest Common Factor of 2940/405, 9792/9595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2940/405, 9792/9595

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 2940/405,9792/9595

Given fractions are 2940/405,9792/9595

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 2940,9792

Greatest Common Factor of Numerators i.e. GCF of 2940,9792 is 12 .

LCM of Denominators means LCM of 405,9595 as per the given fractions.

LCM of 405,9595 is 777195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2940,9792

GCF of Fractions 2940/405,9792/9595 is 12/777195

2 2940, 9792
2 1470, 4896
3 735, 2448
245, 816

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 2940,9792 By Matching Biggest Common Factor Method

Greatest Common Factor of 2940,9792 By Matching Biggest Common Factor Method

Factors of 2940

List of positive integer factors of 2940 that divides 2940 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,49,60,70,84,98,105,140,147,196,210,245,294,420,490,588,735,980,1470,2940

Factors of 9792

List of positive integer factors of 9792 that divides 9792 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792

Greatest Common Factor

We found the factors 2940,9792 . The biggest common factor number is the GCF number.
So the greatest common factor 2940,9792 is 12.

Lets's calculate LCM of 405,9595

5 405, 9595
81, 1919

∴ So the LCM of the given numbers is 5 x 81 x 1919 = 777195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/777195

Therefore, the GCF of Fractions 2940/405,9792/9595 is 12/777195

Least Common Multiple of 405,9595 with GCF Formula

Least Common Multiple of 405,9595 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 405,9595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(405,9595) = 5

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

GCF(405,9595) x common factors =5 x 1 = 5

LCM(405,9595) = ( 405 × 9595 ) / 5

LCM(405,9595) = 3885975 / 5

LCM(405,9595) = 777195


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 2940/405, 9792/9595

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 2940/405, 9792/9595?

Answer: GCF of Numerators as per given numbers 2940/405, 9792/9595 is

GCF of Numerators i.e. for 2940,9792 is 12

LCM of denominators i.e. for 405,9595 is 777195.

Thus, GCF of Fractions is 12/777195.Finally, GCF of Fractions for 2940/405, 9792/9595 is 12/777195.