Greatest Common Factor of 3563/138, 3897/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3563/138, 3897/326

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 3563/138,3897/326

Given fractions are 3563/138,3897/326

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 3563,3897

Greatest Common Factor of Numerators i.e. GCF of 3563,3897 is 1 .

LCM of Denominators means LCM of 138,326 as per the given fractions.

LCM of 138,326 is 22494 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3563,3897

GCF of Fractions 3563/138,3897/326 is 1/22494

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

Greatest Common Factor of 3563,3897 By Matching Biggest Common Factor Method

Greatest Common Factor of 3563,3897 By Matching Biggest Common Factor Method

Factors of 3563

List of positive integer factors of 3563 that divides 3563 without a remainder.

1,7,509,3563

Factors of 3897

List of positive integer factors of 3897 that divides 3897 without a remainder.

1,3,9,433,1299,3897

Greatest Common Factor

We found the factors 3563,3897 . The biggest common factor number is the GCF number.
So the greatest common factor 3563,3897 is 1.

Lets's calculate LCM of 138,326

2 138, 326
69, 163

∴ So the LCM of the given numbers is 2 x 69 x 163 = 22494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22494

Therefore, the GCF of Fractions 3563/138,3897/326 is 1/22494

Least Common Multiple of 138,326 with GCF Formula

Least Common Multiple of 138,326 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 138,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,326) = 2

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

GCF(138,326) x common factors =2 x 1 = 2

LCM(138,326) = ( 138 × 326 ) / 2

LCM(138,326) = 44988 / 2

LCM(138,326) = 22494


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 3563/138, 3897/326

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 3563/138, 3897/326?

Answer: GCF of Numerators as per given numbers 3563/138, 3897/326 is

GCF of Numerators i.e. for 3563,3897 is 1

LCM of denominators i.e. for 138,326 is 22494.

Thus, GCF of Fractions is 1/22494.Finally, GCF of Fractions for 3563/138, 3897/326 is 1/22494.