Greatest Common Factor of 8748/162, 3650/3964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8748/162, 3650/3964

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 8748/162,3650/3964

Given fractions are 8748/162,3650/3964

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 8748,3650

Greatest Common Factor of Numerators i.e. GCF of 8748,3650 is 2 .

LCM of Denominators means LCM of 162,3964 as per the given fractions.

LCM of 162,3964 is 321084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8748,3650

GCF of Fractions 8748/162,3650/3964 is 2/321084

2 8748, 3650
4374, 1825

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

Greatest Common Factor of 8748,3650 By Matching Biggest Common Factor Method

Greatest Common Factor of 8748,3650 By Matching Biggest Common Factor Method

Factors of 8748

List of positive integer factors of 8748 that divides 8748 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2187,2916,4374,8748

Factors of 3650

List of positive integer factors of 3650 that divides 3650 without a remainder.

1,2,5,10,25,50,73,146,365,730,1825,3650

Greatest Common Factor

We found the factors 8748,3650 . The biggest common factor number is the GCF number.
So the greatest common factor 8748,3650 is 2.

Lets's calculate LCM of 162,3964

2 162, 3964
81, 1982

∴ So the LCM of the given numbers is 2 x 81 x 1982 = 321084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/321084

Therefore, the GCF of Fractions 8748/162,3650/3964 is 2/321084

Least Common Multiple of 162,3964 with GCF Formula

Least Common Multiple of 162,3964 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 162,3964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(162,3964) = 2

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

GCF(162,3964) x common factors =2 x 1 = 2

LCM(162,3964) = ( 162 × 3964 ) / 2

LCM(162,3964) = 642168 / 2

LCM(162,3964) = 321084


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 8748/162, 3650/3964

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 8748/162, 3650/3964?

Answer: GCF of Numerators as per given numbers 8748/162, 3650/3964 is

GCF of Numerators i.e. for 8748,3650 is 2

LCM of denominators i.e. for 162,3964 is 321084.

Thus, GCF of Fractions is 2/321084.Finally, GCF of Fractions for 8748/162, 3650/3964 is 2/321084.