Greatest Common Factor of 3149/36, 6355/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3149/36, 6355/588

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 3149/36,6355/588

Given fractions are 3149/36,6355/588

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 3149,6355

Greatest Common Factor of Numerators i.e. GCF of 3149,6355 is 1 .

LCM of Denominators means LCM of 36,588 as per the given fractions.

LCM of 36,588 is 1764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3149,6355

GCF of Fractions 3149/36,6355/588 is 1/1764

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

Greatest Common Factor of 3149,6355 By Matching Biggest Common Factor Method

Greatest Common Factor of 3149,6355 By Matching Biggest Common Factor Method

Factors of 3149

List of positive integer factors of 3149 that divides 3149 without a remainder.

1,47,67,3149

Factors of 6355

List of positive integer factors of 6355 that divides 6355 without a remainder.

1,5,31,41,155,205,1271,6355

Greatest Common Factor

We found the factors 3149,6355 . The biggest common factor number is the GCF number.
So the greatest common factor 3149,6355 is 1.

Lets's calculate LCM of 36,588

2 36, 588
2 18, 294
3 9, 147
3, 49

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 49 = 1764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1764

Therefore, the GCF of Fractions 3149/36,6355/588 is 1/1764

Least Common Multiple of 36,588 with GCF Formula

Least Common Multiple of 36,588 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 36,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,588) = 12

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

GCF(36,588) x common factors =12 x 1 = 12

LCM(36,588) = ( 36 × 588 ) / 12

LCM(36,588) = 21168 / 12

LCM(36,588) = 1764


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 3149/36, 6355/588

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 3149/36, 6355/588?

Answer: GCF of Numerators as per given numbers 3149/36, 6355/588 is

GCF of Numerators i.e. for 3149,6355 is 1

LCM of denominators i.e. for 36,588 is 1764.

Thus, GCF of Fractions is 1/1764.Finally, GCF of Fractions for 3149/36, 6355/588 is 1/1764.