Greatest Common Factor of 736/76, 943/1235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 736/76, 943/1235

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 736/76,943/1235

Given fractions are 736/76,943/1235

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 736,943

Greatest Common Factor of Numerators i.e. GCF of 736,943 is 23 .

LCM of Denominators means LCM of 76,1235 as per the given fractions.

LCM of 76,1235 is 4940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 736,943

GCF of Fractions 736/76,943/1235 is 23/4940

23 736, 943
32, 41

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 736,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,943 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 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 736,943 . The biggest common factor number is the GCF number.
So the greatest common factor 736,943 is 23.

Lets's calculate LCM of 76,1235

19 76, 1235
4, 65

∴ So the LCM of the given numbers is 19 x 4 x 65 = 4940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/4940

Therefore, the GCF of Fractions 736/76,943/1235 is 23/4940

Least Common Multiple of 76,1235 with GCF Formula

Least Common Multiple of 76,1235 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 76,1235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,1235) = 19

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

GCF(76,1235) x common factors =19 x 1 = 19

LCM(76,1235) = ( 76 × 1235 ) / 19

LCM(76,1235) = 93860 / 19

LCM(76,1235) = 4940


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 736/76, 943/1235

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 736/76, 943/1235?

Answer: GCF of Numerators as per given numbers 736/76, 943/1235 is

GCF of Numerators i.e. for 736,943 is 23

LCM of denominators i.e. for 76,1235 is 4940.

Thus, GCF of Fractions is 23/4940.Finally, GCF of Fractions for 736/76, 943/1235 is 23/4940.