Greatest Common Factor of 865/150, 6910/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 865/150, 6910/324

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 865/150,6910/324

Given fractions are 865/150,6910/324

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 865,6910

Greatest Common Factor of Numerators i.e. GCF of 865,6910 is 5 .

LCM of Denominators means LCM of 150,324 as per the given fractions.

LCM of 150,324 is 8100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 865,6910

GCF of Fractions 865/150,6910/324 is 5/8100

5 865, 6910
173, 1382

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 865,6910 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,6910 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 6910

List of positive integer factors of 6910 that divides 6910 without a remainder.

1,2,5,10,691,1382,3455,6910

Greatest Common Factor

We found the factors 865,6910 . The biggest common factor number is the GCF number.
So the greatest common factor 865,6910 is 5.

Lets's calculate LCM of 150,324

2 150, 324
3 75, 162
25, 54

∴ So the LCM of the given numbers is 2 x 3 x 25 x 54 = 8100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8100

Therefore, the GCF of Fractions 865/150,6910/324 is 5/8100

Least Common Multiple of 150,324 with GCF Formula

Least Common Multiple of 150,324 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 150,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,324) = 6

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

GCF(150,324) x common factors =6 x 1 = 6

LCM(150,324) = ( 150 × 324 ) / 6

LCM(150,324) = 48600 / 6

LCM(150,324) = 8100


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 865/150, 6910/324

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 865/150, 6910/324?

Answer: GCF of Numerators as per given numbers 865/150, 6910/324 is

GCF of Numerators i.e. for 865,6910 is 5

LCM of denominators i.e. for 150,324 is 8100.

Thus, GCF of Fractions is 5/8100.Finally, GCF of Fractions for 865/150, 6910/324 is 5/8100.