Greatest Common Factor of 3690/167, 8962/7296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3690/167, 8962/7296

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 3690/167,8962/7296

Given fractions are 3690/167,8962/7296

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 3690,8962

Greatest Common Factor of Numerators i.e. GCF of 3690,8962 is 2 .

LCM of Denominators means LCM of 167,7296 as per the given fractions.

LCM of 167,7296 is 1218432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3690,8962

GCF of Fractions 3690/167,8962/7296 is 2/1218432

2 3690, 8962
1845, 4481

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

Greatest Common Factor of 3690,8962 By Matching Biggest Common Factor Method

Greatest Common Factor of 3690,8962 By Matching Biggest Common Factor Method

Factors of 3690

List of positive integer factors of 3690 that divides 3690 without a remainder.

1,2,3,5,6,9,10,15,18,30,41,45,82,90,123,205,246,369,410,615,738,1230,1845,3690

Factors of 8962

List of positive integer factors of 8962 that divides 8962 without a remainder.

1,2,4481,8962

Greatest Common Factor

We found the factors 3690,8962 . The biggest common factor number is the GCF number.
So the greatest common factor 3690,8962 is 2.

Lets's calculate LCM of 167,7296

Given numbers has no common factors except 1. So, there LCM is their product i.e 1218432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1218432

Therefore, the GCF of Fractions 3690/167,8962/7296 is 2/1218432

Least Common Multiple of 167,7296 with GCF Formula

Least Common Multiple of 167,7296 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 167,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,7296) = 1

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

GCF(167,7296) x common factors =1 x 1 = 1

LCM(167,7296) = ( 167 × 7296 ) / 1

LCM(167,7296) = 1218432 / 1

LCM(167,7296) = 1218432


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 3690/167, 8962/7296

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 3690/167, 8962/7296?

Answer: GCF of Numerators as per given numbers 3690/167, 8962/7296 is

GCF of Numerators i.e. for 3690,8962 is 2

LCM of denominators i.e. for 167,7296 is 1218432.

Thus, GCF of Fractions is 2/1218432.Finally, GCF of Fractions for 3690/167, 8962/7296 is 2/1218432.