Greatest Common Factor of 197/53, 722/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 197/53, 722/420

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 197/53,722/420

Given fractions are 197/53,722/420

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 197,722

Greatest Common Factor of Numerators i.e. GCF of 197,722 is 1 .

LCM of Denominators means LCM of 53,420 as per the given fractions.

LCM of 53,420 is 22260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 197,722

GCF of Fractions 197/53,722/420 is 1/22260

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

Greatest Common Factor of 197,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 197,722 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 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 197,722 . The biggest common factor number is the GCF number.
So the greatest common factor 197,722 is 1.

Lets's calculate LCM of 53,420

Given numbers has no common factors except 1. So, there LCM is their product i.e 22260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22260

Therefore, the GCF of Fractions 197/53,722/420 is 1/22260

Least Common Multiple of 53,420 with GCF Formula

Least Common Multiple of 53,420 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 53,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,420) = 1

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

GCF(53,420) x common factors =1 x 1 = 1

LCM(53,420) = ( 53 × 420 ) / 1

LCM(53,420) = 22260 / 1

LCM(53,420) = 22260


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 197/53, 722/420

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 197/53, 722/420?

Answer: GCF of Numerators as per given numbers 197/53, 722/420 is

GCF of Numerators i.e. for 197,722 is 1

LCM of denominators i.e. for 53,420 is 22260.

Thus, GCF of Fractions is 1/22260.Finally, GCF of Fractions for 197/53, 722/420 is 1/22260.