Greatest Common Factor of 3649/36, 1931/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3649/36, 1931/755

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 3649/36,1931/755

Given fractions are 3649/36,1931/755

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 3649,1931

Greatest Common Factor of Numerators i.e. GCF of 3649,1931 is 1 .

LCM of Denominators means LCM of 36,755 as per the given fractions.

LCM of 36,755 is 27180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3649,1931

GCF of Fractions 3649/36,1931/755 is 1/27180

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

Greatest Common Factor of 3649,1931 By Matching Biggest Common Factor Method

Greatest Common Factor of 3649,1931 By Matching Biggest Common Factor Method

Factors of 3649

List of positive integer factors of 3649 that divides 3649 without a remainder.

1,41,89,3649

Factors of 1931

List of positive integer factors of 1931 that divides 1931 without a remainder.

1,1931

Greatest Common Factor

We found the factors 3649,1931 . The biggest common factor number is the GCF number.
So the greatest common factor 3649,1931 is 1.

Lets's calculate LCM of 36,755

Given numbers has no common factors except 1. So, there LCM is their product i.e 27180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27180

Therefore, the GCF of Fractions 3649/36,1931/755 is 1/27180

Least Common Multiple of 36,755 with GCF Formula

Least Common Multiple of 36,755 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 36,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,755) = 1

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

GCF(36,755) x common factors =1 x 1 = 1

LCM(36,755) = ( 36 × 755 ) / 1

LCM(36,755) = 27180 / 1

LCM(36,755) = 27180


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 3649/36, 1931/755

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 3649/36, 1931/755?

Answer: GCF of Numerators as per given numbers 3649/36, 1931/755 is

GCF of Numerators i.e. for 3649,1931 is 1

LCM of denominators i.e. for 36,755 is 27180.

Thus, GCF of Fractions is 1/27180.Finally, GCF of Fractions for 3649/36, 1931/755 is 1/27180.