Greatest Common Factor of 7978/407, 1324/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7978/407, 1324/165

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 7978/407,1324/165

Given fractions are 7978/407,1324/165

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 7978,1324

Greatest Common Factor of Numerators i.e. GCF of 7978,1324 is 2 .

LCM of Denominators means LCM of 407,165 as per the given fractions.

LCM of 407,165 is 6105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7978,1324

GCF of Fractions 7978/407,1324/165 is 2/6105

2 7978, 1324
3989, 662

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

Greatest Common Factor of 7978,1324 By Matching Biggest Common Factor Method

Greatest Common Factor of 7978,1324 By Matching Biggest Common Factor Method

Factors of 7978

List of positive integer factors of 7978 that divides 7978 without a remainder.

1,2,3989,7978

Factors of 1324

List of positive integer factors of 1324 that divides 1324 without a remainder.

1,2,4,331,662,1324

Greatest Common Factor

We found the factors 7978,1324 . The biggest common factor number is the GCF number.
So the greatest common factor 7978,1324 is 2.

Lets's calculate LCM of 407,165

11 407, 165
37, 15

∴ So the LCM of the given numbers is 11 x 37 x 15 = 6105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6105

Therefore, the GCF of Fractions 7978/407,1324/165 is 2/6105

Least Common Multiple of 407,165 with GCF Formula

Least Common Multiple of 407,165 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 407,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,165) = 11

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

GCF(407,165) x common factors =11 x 1 = 11

LCM(407,165) = ( 407 × 165 ) / 11

LCM(407,165) = 67155 / 11

LCM(407,165) = 6105


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 7978/407, 1324/165

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 7978/407, 1324/165?

Answer: GCF of Numerators as per given numbers 7978/407, 1324/165 is

GCF of Numerators i.e. for 7978,1324 is 2

LCM of denominators i.e. for 407,165 is 6105.

Thus, GCF of Fractions is 2/6105.Finally, GCF of Fractions for 7978/407, 1324/165 is 2/6105.