Greatest Common Factor of 9312/357, 9864/9460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9312/357, 9864/9460

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 9312/357,9864/9460

Given fractions are 9312/357,9864/9460

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 9312,9864

Greatest Common Factor of Numerators i.e. GCF of 9312,9864 is 24 .

LCM of Denominators means LCM of 357,9460 as per the given fractions.

LCM of 357,9460 is 3377220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9312,9864

GCF of Fractions 9312/357,9864/9460 is 24/3377220

2 9312, 9864
2 4656, 4932
2 2328, 2466
3 1164, 1233
388, 411

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 9312,9864 By Matching Biggest Common Factor Method

Greatest Common Factor of 9312,9864 By Matching Biggest Common Factor Method

Factors of 9312

List of positive integer factors of 9312 that divides 9312 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864

Greatest Common Factor

We found the factors 9312,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 9312,9864 is 24.

Lets's calculate LCM of 357,9460

Given numbers has no common factors except 1. So, there LCM is their product i.e 3377220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/3377220

Therefore, the GCF of Fractions 9312/357,9864/9460 is 24/3377220

Least Common Multiple of 357,9460 with GCF Formula

Least Common Multiple of 357,9460 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 357,9460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,9460) = 1

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

GCF(357,9460) x common factors =1 x 1 = 1

LCM(357,9460) = ( 357 × 9460 ) / 1

LCM(357,9460) = 3377220 / 1

LCM(357,9460) = 3377220


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 9312/357, 9864/9460

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 9312/357, 9864/9460?

Answer: GCF of Numerators as per given numbers 9312/357, 9864/9460 is

GCF of Numerators i.e. for 9312,9864 is 24

LCM of denominators i.e. for 357,9460 is 3377220.

Thus, GCF of Fractions is 24/3377220.Finally, GCF of Fractions for 9312/357, 9864/9460 is 24/3377220.