Greatest Common Factor of 9312/82, 6468/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9312/82, 6468/917

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 9312/82,6468/917

Given fractions are 9312/82,6468/917

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 9312,6468

Greatest Common Factor of Numerators i.e. GCF of 9312,6468 is 12 .

LCM of Denominators means LCM of 82,917 as per the given fractions.

LCM of 82,917 is 75194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9312,6468

GCF of Fractions 9312/82,6468/917 is 12/75194

2 9312, 6468
2 4656, 3234
3 2328, 1617
776, 539

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

Greatest Common Factor of 9312,6468 By Matching Biggest Common Factor Method

Greatest Common Factor of 9312,6468 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 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468

Greatest Common Factor

We found the factors 9312,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 9312,6468 is 12.

Lets's calculate LCM of 82,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 75194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/75194

Therefore, the GCF of Fractions 9312/82,6468/917 is 12/75194

Least Common Multiple of 82,917 with GCF Formula

Least Common Multiple of 82,917 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 82,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,917) = 1

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

GCF(82,917) x common factors =1 x 1 = 1

LCM(82,917) = ( 82 × 917 ) / 1

LCM(82,917) = 75194 / 1

LCM(82,917) = 75194


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 9312/82, 6468/917

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 9312/82, 6468/917?

Answer: GCF of Numerators as per given numbers 9312/82, 6468/917 is

GCF of Numerators i.e. for 9312,6468 is 12

LCM of denominators i.e. for 82,917 is 75194.

Thus, GCF of Fractions is 12/75194.Finally, GCF of Fractions for 9312/82, 6468/917 is 12/75194.