Greatest Common Factor of 736/855, 3149/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 736/855, 3149/133

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 736/855,3149/133

Given fractions are 736/855,3149/133

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 736,3149

Greatest Common Factor of Numerators i.e. GCF of 736,3149 is 1 .

LCM of Denominators means LCM of 855,133 as per the given fractions.

LCM of 855,133 is 5985 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 736,3149

GCF of Fractions 736/855,3149/133 is 1/5985

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

Greatest Common Factor of 736,3149 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,3149 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 3149

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

1,47,67,3149

Greatest Common Factor

We found the factors 736,3149 . The biggest common factor number is the GCF number.
So the greatest common factor 736,3149 is 1.

Lets's calculate LCM of 855,133

19 855, 133
45, 7

∴ So the LCM of the given numbers is 19 x 45 x 7 = 5985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5985

Therefore, the GCF of Fractions 736/855,3149/133 is 1/5985

Least Common Multiple of 855,133 with GCF Formula

Least Common Multiple of 855,133 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 855,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,133) = 19

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

GCF(855,133) x common factors =19 x 1 = 19

LCM(855,133) = ( 855 × 133 ) / 19

LCM(855,133) = 113715 / 19

LCM(855,133) = 5985


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 736/855, 3149/133

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 736/855, 3149/133?

Answer: GCF of Numerators as per given numbers 736/855, 3149/133 is

GCF of Numerators i.e. for 736,3149 is 1

LCM of denominators i.e. for 855,133 is 5985.

Thus, GCF of Fractions is 1/5985.Finally, GCF of Fractions for 736/855, 3149/133 is 1/5985.