Greatest Common Factor of 5342/260, 8647/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5342/260, 8647/197

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 5342/260,8647/197

Given fractions are 5342/260,8647/197

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 5342,8647

Greatest Common Factor of Numerators i.e. GCF of 5342,8647 is 1 .

LCM of Denominators means LCM of 260,197 as per the given fractions.

LCM of 260,197 is 51220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5342,8647

GCF of Fractions 5342/260,8647/197 is 1/51220

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

Greatest Common Factor of 5342,8647 By Matching Biggest Common Factor Method

Greatest Common Factor of 5342,8647 By Matching Biggest Common Factor Method

Factors of 5342

List of positive integer factors of 5342 that divides 5342 without a remainder.

1,2,2671,5342

Factors of 8647

List of positive integer factors of 8647 that divides 8647 without a remainder.

1,8647

Greatest Common Factor

We found the factors 5342,8647 . The biggest common factor number is the GCF number.
So the greatest common factor 5342,8647 is 1.

Lets's calculate LCM of 260,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 51220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51220

Therefore, the GCF of Fractions 5342/260,8647/197 is 1/51220

Least Common Multiple of 260,197 with GCF Formula

Least Common Multiple of 260,197 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 260,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,197) = 1

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

GCF(260,197) x common factors =1 x 1 = 1

LCM(260,197) = ( 260 × 197 ) / 1

LCM(260,197) = 51220 / 1

LCM(260,197) = 51220


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 5342/260, 8647/197

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 5342/260, 8647/197?

Answer: GCF of Numerators as per given numbers 5342/260, 8647/197 is

GCF of Numerators i.e. for 5342,8647 is 1

LCM of denominators i.e. for 260,197 is 51220.

Thus, GCF of Fractions is 1/51220.Finally, GCF of Fractions for 5342/260, 8647/197 is 1/51220.