Greatest Common Factor of 3691/136, 4256/713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3691/136, 4256/713

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 3691/136,4256/713

Given fractions are 3691/136,4256/713

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 3691,4256

Greatest Common Factor of Numerators i.e. GCF of 3691,4256 is 1 .

LCM of Denominators means LCM of 136,713 as per the given fractions.

LCM of 136,713 is 96968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3691,4256

GCF of Fractions 3691/136,4256/713 is 1/96968

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

Greatest Common Factor of 3691,4256 By Matching Biggest Common Factor Method

Greatest Common Factor of 3691,4256 By Matching Biggest Common Factor Method

Factors of 3691

List of positive integer factors of 3691 that divides 3691 without a remainder.

1,3691

Factors of 4256

List of positive integer factors of 4256 that divides 4256 without a remainder.

1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256

Greatest Common Factor

We found the factors 3691,4256 . The biggest common factor number is the GCF number.
So the greatest common factor 3691,4256 is 1.

Lets's calculate LCM of 136,713

Given numbers has no common factors except 1. So, there LCM is their product i.e 96968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96968

Therefore, the GCF of Fractions 3691/136,4256/713 is 1/96968

Least Common Multiple of 136,713 with GCF Formula

Least Common Multiple of 136,713 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 136,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,713) = 1

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

GCF(136,713) x common factors =1 x 1 = 1

LCM(136,713) = ( 136 × 713 ) / 1

LCM(136,713) = 96968 / 1

LCM(136,713) = 96968


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 3691/136, 4256/713

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 3691/136, 4256/713?

Answer: GCF of Numerators as per given numbers 3691/136, 4256/713 is

GCF of Numerators i.e. for 3691,4256 is 1

LCM of denominators i.e. for 136,713 is 96968.

Thus, GCF of Fractions is 1/96968.Finally, GCF of Fractions for 3691/136, 4256/713 is 1/96968.