Greatest Common Factor of 391/144, 8041/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 391/144, 8041/955

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 391/144,8041/955

Given fractions are 391/144,8041/955

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 391,8041

Greatest Common Factor of Numerators i.e. GCF of 391,8041 is 17 .

LCM of Denominators means LCM of 144,955 as per the given fractions.

LCM of 144,955 is 137520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 391,8041

GCF of Fractions 391/144,8041/955 is 17/137520

17 391, 8041
23, 473

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 391,8041 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,8041 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 8041

List of positive integer factors of 8041 that divides 8041 without a remainder.

1,11,17,43,187,473,731,8041

Greatest Common Factor

We found the factors 391,8041 . The biggest common factor number is the GCF number.
So the greatest common factor 391,8041 is 17.

Lets's calculate LCM of 144,955

Given numbers has no common factors except 1. So, there LCM is their product i.e 137520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/137520

Therefore, the GCF of Fractions 391/144,8041/955 is 17/137520

Least Common Multiple of 144,955 with GCF Formula

Least Common Multiple of 144,955 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 144,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,955) = 1

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

GCF(144,955) x common factors =1 x 1 = 1

LCM(144,955) = ( 144 × 955 ) / 1

LCM(144,955) = 137520 / 1

LCM(144,955) = 137520


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 391/144, 8041/955

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 391/144, 8041/955?

Answer: GCF of Numerators as per given numbers 391/144, 8041/955 is

GCF of Numerators i.e. for 391,8041 is 17

LCM of denominators i.e. for 144,955 is 137520.

Thus, GCF of Fractions is 17/137520.Finally, GCF of Fractions for 391/144, 8041/955 is 17/137520.