Greatest Common Factor of 197/59, 172/7252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 197/59, 172/7252

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 197/59,172/7252

Given fractions are 197/59,172/7252

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 197,172

Greatest Common Factor of Numerators i.e. GCF of 197,172 is 1 .

LCM of Denominators means LCM of 59,7252 as per the given fractions.

LCM of 59,7252 is 427868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 197,172

GCF of Fractions 197/59,172/7252 is 1/427868

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

Greatest Common Factor of 197,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,172 By Matching Biggest Common Factor Method

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 197,172 . The biggest common factor number is the GCF number.
So the greatest common factor 197,172 is 1.

Lets's calculate LCM of 59,7252

Given numbers has no common factors except 1. So, there LCM is their product i.e 427868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/427868

Therefore, the GCF of Fractions 197/59,172/7252 is 1/427868

Least Common Multiple of 59,7252 with GCF Formula

Least Common Multiple of 59,7252 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 59,7252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,7252) = 1

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

GCF(59,7252) x common factors =1 x 1 = 1

LCM(59,7252) = ( 59 × 7252 ) / 1

LCM(59,7252) = 427868 / 1

LCM(59,7252) = 427868


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 197/59, 172/7252

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 197/59, 172/7252?

Answer: GCF of Numerators as per given numbers 197/59, 172/7252 is

GCF of Numerators i.e. for 197,172 is 1

LCM of denominators i.e. for 59,7252 is 427868.

Thus, GCF of Fractions is 1/427868.Finally, GCF of Fractions for 197/59, 172/7252 is 1/427868.