Greatest Common Factor of 7955/422, 3335/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7955/422, 3335/187

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 7955/422,3335/187

Given fractions are 7955/422,3335/187

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 7955,3335

Greatest Common Factor of Numerators i.e. GCF of 7955,3335 is 5 .

LCM of Denominators means LCM of 422,187 as per the given fractions.

LCM of 422,187 is 78914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7955,3335

GCF of Fractions 7955/422,3335/187 is 5/78914

5 7955, 3335
1591, 667

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

Greatest Common Factor of 7955,3335 By Matching Biggest Common Factor Method

Greatest Common Factor of 7955,3335 By Matching Biggest Common Factor Method

Factors of 7955

List of positive integer factors of 7955 that divides 7955 without a remainder.

1,5,37,43,185,215,1591,7955

Factors of 3335

List of positive integer factors of 3335 that divides 3335 without a remainder.

1,5,23,29,115,145,667,3335

Greatest Common Factor

We found the factors 7955,3335 . The biggest common factor number is the GCF number.
So the greatest common factor 7955,3335 is 5.

Lets's calculate LCM of 422,187

Given numbers has no common factors except 1. So, there LCM is their product i.e 78914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/78914

Therefore, the GCF of Fractions 7955/422,3335/187 is 5/78914

Least Common Multiple of 422,187 with GCF Formula

Least Common Multiple of 422,187 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 422,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,187) = 1

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

GCF(422,187) x common factors =1 x 1 = 1

LCM(422,187) = ( 422 × 187 ) / 1

LCM(422,187) = 78914 / 1

LCM(422,187) = 78914


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 7955/422, 3335/187

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 7955/422, 3335/187?

Answer: GCF of Numerators as per given numbers 7955/422, 3335/187 is

GCF of Numerators i.e. for 7955,3335 is 5

LCM of denominators i.e. for 422,187 is 78914.

Thus, GCF of Fractions is 5/78914.Finally, GCF of Fractions for 7955/422, 3335/187 is 5/78914.