Greatest Common Factor of 8271/142, 9601/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8271/142, 9601/297

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 8271/142,9601/297

Given fractions are 8271/142,9601/297

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 8271,9601

Greatest Common Factor of Numerators i.e. GCF of 8271,9601 is 1 .

LCM of Denominators means LCM of 142,297 as per the given fractions.

LCM of 142,297 is 42174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8271,9601

GCF of Fractions 8271/142,9601/297 is 1/42174

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

Greatest Common Factor of 8271,9601 By Matching Biggest Common Factor Method

Greatest Common Factor of 8271,9601 By Matching Biggest Common Factor Method

Factors of 8271

List of positive integer factors of 8271 that divides 8271 without a remainder.

1,3,9,919,2757,8271

Factors of 9601

List of positive integer factors of 9601 that divides 9601 without a remainder.

1,9601

Greatest Common Factor

We found the factors 8271,9601 . The biggest common factor number is the GCF number.
So the greatest common factor 8271,9601 is 1.

Lets's calculate LCM of 142,297

Given numbers has no common factors except 1. So, there LCM is their product i.e 42174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42174

Therefore, the GCF of Fractions 8271/142,9601/297 is 1/42174

Least Common Multiple of 142,297 with GCF Formula

Least Common Multiple of 142,297 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 142,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,297) = 1

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

GCF(142,297) x common factors =1 x 1 = 1

LCM(142,297) = ( 142 × 297 ) / 1

LCM(142,297) = 42174 / 1

LCM(142,297) = 42174


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 8271/142, 9601/297

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 8271/142, 9601/297?

Answer: GCF of Numerators as per given numbers 8271/142, 9601/297 is

GCF of Numerators i.e. for 8271,9601 is 1

LCM of denominators i.e. for 142,297 is 42174.

Thus, GCF of Fractions is 1/42174.Finally, GCF of Fractions for 8271/142, 9601/297 is 1/42174.