Greatest Common Factor of 148/271, 7955/9297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 148/271, 7955/9297

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 148/271,7955/9297

Given fractions are 148/271,7955/9297

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 148,7955

Greatest Common Factor of Numerators i.e. GCF of 148,7955 is 37 .

LCM of Denominators means LCM of 271,9297 as per the given fractions.

LCM of 271,9297 is 2519487 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 148,7955

GCF of Fractions 148/271,7955/9297 is 37/2519487

37 148, 7955
4, 215

∴ So the GCF of the given numbers is 37 = 37

Greatest Common Factor of 148,7955 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,7955 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 7955

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

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

Greatest Common Factor

We found the factors 148,7955 . The biggest common factor number is the GCF number.
So the greatest common factor 148,7955 is 37.

Lets's calculate LCM of 271,9297

Given numbers has no common factors except 1. So, there LCM is their product i.e 2519487

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/2519487

Therefore, the GCF of Fractions 148/271,7955/9297 is 37/2519487

Least Common Multiple of 271,9297 with GCF Formula

Least Common Multiple of 271,9297 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 271,9297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,9297) = 1

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

GCF(271,9297) x common factors =1 x 1 = 1

LCM(271,9297) = ( 271 × 9297 ) / 1

LCM(271,9297) = 2519487 / 1

LCM(271,9297) = 2519487


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 148/271, 7955/9297

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 148/271, 7955/9297?

Answer: GCF of Numerators as per given numbers 148/271, 7955/9297 is

GCF of Numerators i.e. for 148,7955 is 37

LCM of denominators i.e. for 271,9297 is 2519487.

Thus, GCF of Fractions is 37/2519487.Finally, GCF of Fractions for 148/271, 7955/9297 is 37/2519487.