Greatest Common Factor of 9696/418, 5840/9370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9696/418, 5840/9370

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 9696/418,5840/9370

Given fractions are 9696/418,5840/9370

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 9696,5840

Greatest Common Factor of Numerators i.e. GCF of 9696,5840 is 16 .

LCM of Denominators means LCM of 418,9370 as per the given fractions.

LCM of 418,9370 is 1958330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9696,5840

GCF of Fractions 9696/418,5840/9370 is 16/1958330

2 9696, 5840
2 4848, 2920
2 2424, 1460
2 1212, 730
606, 365

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 9696,5840 By Matching Biggest Common Factor Method

Greatest Common Factor of 9696,5840 By Matching Biggest Common Factor Method

Factors of 9696

List of positive integer factors of 9696 that divides 9696 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696

Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840

Greatest Common Factor

We found the factors 9696,5840 . The biggest common factor number is the GCF number.
So the greatest common factor 9696,5840 is 16.

Lets's calculate LCM of 418,9370

2 418, 9370
209, 4685

∴ So the LCM of the given numbers is 2 x 209 x 4685 = 1958330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1958330

Therefore, the GCF of Fractions 9696/418,5840/9370 is 16/1958330

Least Common Multiple of 418,9370 with GCF Formula

Least Common Multiple of 418,9370 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 418,9370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,9370) = 2

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

GCF(418,9370) x common factors =2 x 1 = 2

LCM(418,9370) = ( 418 × 9370 ) / 2

LCM(418,9370) = 3916660 / 2

LCM(418,9370) = 1958330


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 9696/418, 5840/9370

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 9696/418, 5840/9370?

Answer: GCF of Numerators as per given numbers 9696/418, 5840/9370 is

GCF of Numerators i.e. for 9696,5840 is 16

LCM of denominators i.e. for 418,9370 is 1958330.

Thus, GCF of Fractions is 16/1958330.Finally, GCF of Fractions for 9696/418, 5840/9370 is 16/1958330.