Greatest Common Factor of 8195/901, 1231/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8195/901, 1231/322

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 8195/901,1231/322

Given fractions are 8195/901,1231/322

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 8195,1231

Greatest Common Factor of Numerators i.e. GCF of 8195,1231 is 1 .

LCM of Denominators means LCM of 901,322 as per the given fractions.

LCM of 901,322 is 290122 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8195,1231

GCF of Fractions 8195/901,1231/322 is 1/290122

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8195,1231 By Matching Biggest Common Factor Method

Greatest Common Factor of 8195,1231 By Matching Biggest Common Factor Method

Factors of 8195

List of positive integer factors of 8195 that divides 8195 without a remainder.

1,5,11,55,149,745,1639,8195

Factors of 1231

List of positive integer factors of 1231 that divides 1231 without a remainder.

1,1231

Greatest Common Factor

We found the factors 8195,1231 . The biggest common factor number is the GCF number.
So the greatest common factor 8195,1231 is 1.

Lets's calculate LCM of 901,322

Given numbers has no common factors except 1. So, there LCM is their product i.e 290122

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/290122

Therefore, the GCF of Fractions 8195/901,1231/322 is 1/290122

Least Common Multiple of 901,322 with GCF Formula

Least Common Multiple of 901,322 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 901,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(901,322) = 1

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

GCF(901,322) x common factors =1 x 1 = 1

LCM(901,322) = ( 901 × 322 ) / 1

LCM(901,322) = 290122 / 1

LCM(901,322) = 290122


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 8195/901, 1231/322

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 8195/901, 1231/322?

Answer: GCF of Numerators as per given numbers 8195/901, 1231/322 is

GCF of Numerators i.e. for 8195,1231 is 1

LCM of denominators i.e. for 901,322 is 290122.

Thus, GCF of Fractions is 1/290122.Finally, GCF of Fractions for 8195/901, 1231/322 is 1/290122.