Greatest Common Factor of 9156/666, 5250/9691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9156/666, 5250/9691

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 9156/666,5250/9691

Given fractions are 9156/666,5250/9691

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 9156,5250

Greatest Common Factor of Numerators i.e. GCF of 9156,5250 is 42 .

LCM of Denominators means LCM of 666,9691 as per the given fractions.

LCM of 666,9691 is 6454206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9156,5250

GCF of Fractions 9156/666,5250/9691 is 42/6454206

2 9156, 5250
3 4578, 2625
7 1526, 875
218, 125

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 9156,5250 By Matching Biggest Common Factor Method

Greatest Common Factor of 9156,5250 By Matching Biggest Common Factor Method

Factors of 9156

List of positive integer factors of 9156 that divides 9156 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156

Factors of 5250

List of positive integer factors of 5250 that divides 5250 without a remainder.

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250

Greatest Common Factor

We found the factors 9156,5250 . The biggest common factor number is the GCF number.
So the greatest common factor 9156,5250 is 42.

Lets's calculate LCM of 666,9691

Given numbers has no common factors except 1. So, there LCM is their product i.e 6454206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/6454206

Therefore, the GCF of Fractions 9156/666,5250/9691 is 42/6454206

Least Common Multiple of 666,9691 with GCF Formula

Least Common Multiple of 666,9691 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 666,9691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,9691) = 1

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

GCF(666,9691) x common factors =1 x 1 = 1

LCM(666,9691) = ( 666 × 9691 ) / 1

LCM(666,9691) = 6454206 / 1

LCM(666,9691) = 6454206


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 9156/666, 5250/9691

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 9156/666, 5250/9691?

Answer: GCF of Numerators as per given numbers 9156/666, 5250/9691 is

GCF of Numerators i.e. for 9156,5250 is 42

LCM of denominators i.e. for 666,9691 is 6454206.

Thus, GCF of Fractions is 42/6454206.Finally, GCF of Fractions for 9156/666, 5250/9691 is 42/6454206.