Greatest Common Factor of 3647/117, 1281/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3647/117, 1281/742

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 3647/117,1281/742

Given fractions are 3647/117,1281/742

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 3647,1281

Greatest Common Factor of Numerators i.e. GCF of 3647,1281 is 7 .

LCM of Denominators means LCM of 117,742 as per the given fractions.

LCM of 117,742 is 86814 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3647,1281

GCF of Fractions 3647/117,1281/742 is 7/86814

7 3647, 1281
521, 183

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 3647,1281 By Matching Biggest Common Factor Method

Greatest Common Factor of 3647,1281 By Matching Biggest Common Factor Method

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1,7,521,3647

Factors of 1281

List of positive integer factors of 1281 that divides 1281 without a remainder.

1,3,7,21,61,183,427,1281

Greatest Common Factor

We found the factors 3647,1281 . The biggest common factor number is the GCF number.
So the greatest common factor 3647,1281 is 7.

Lets's calculate LCM of 117,742

Given numbers has no common factors except 1. So, there LCM is their product i.e 86814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/86814

Therefore, the GCF of Fractions 3647/117,1281/742 is 7/86814

Least Common Multiple of 117,742 with GCF Formula

Least Common Multiple of 117,742 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 117,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,742) = 1

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

GCF(117,742) x common factors =1 x 1 = 1

LCM(117,742) = ( 117 × 742 ) / 1

LCM(117,742) = 86814 / 1

LCM(117,742) = 86814


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 3647/117, 1281/742

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 3647/117, 1281/742?

Answer: GCF of Numerators as per given numbers 3647/117, 1281/742 is

GCF of Numerators i.e. for 3647,1281 is 7

LCM of denominators i.e. for 117,742 is 86814.

Thus, GCF of Fractions is 7/86814.Finally, GCF of Fractions for 3647/117, 1281/742 is 7/86814.