Greatest Common Factor of 3596/42, 9261/926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3596/42, 9261/926

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 3596/42,9261/926

Given fractions are 3596/42,9261/926

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 3596,9261

Greatest Common Factor of Numerators i.e. GCF of 3596,9261 is 1 .

LCM of Denominators means LCM of 42,926 as per the given fractions.

LCM of 42,926 is 19446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3596,9261

GCF of Fractions 3596/42,9261/926 is 1/19446

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

Greatest Common Factor of 3596,9261 By Matching Biggest Common Factor Method

Greatest Common Factor of 3596,9261 By Matching Biggest Common Factor Method

Factors of 3596

List of positive integer factors of 3596 that divides 3596 without a remainder.

1,2,4,29,31,58,62,116,124,899,1798,3596

Factors of 9261

List of positive integer factors of 9261 that divides 9261 without a remainder.

1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261

Greatest Common Factor

We found the factors 3596,9261 . The biggest common factor number is the GCF number.
So the greatest common factor 3596,9261 is 1.

Lets's calculate LCM of 42,926

2 42, 926
21, 463

∴ So the LCM of the given numbers is 2 x 21 x 463 = 19446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19446

Therefore, the GCF of Fractions 3596/42,9261/926 is 1/19446

Least Common Multiple of 42,926 with GCF Formula

Least Common Multiple of 42,926 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 42,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,926) = 2

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

GCF(42,926) x common factors =2 x 1 = 2

LCM(42,926) = ( 42 × 926 ) / 2

LCM(42,926) = 38892 / 2

LCM(42,926) = 19446


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 3596/42, 9261/926

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 3596/42, 9261/926?

Answer: GCF of Numerators as per given numbers 3596/42, 9261/926 is

GCF of Numerators i.e. for 3596,9261 is 1

LCM of denominators i.e. for 42,926 is 19446.

Thus, GCF of Fractions is 1/19446.Finally, GCF of Fractions for 3596/42, 9261/926 is 1/19446.