Greatest Common Factor of 26/18, 31/825, 332/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/18, 31/825, 332/449

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 26/18,31/825,332/449

Given fractions are 26/18,31/825,332/449

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 26,31,332

Greatest Common Factor of Numerators i.e. GCF of 26,31,332 is 1 .

LCM of Denominators means LCM of 18,825,449 as per the given fractions.

LCM of 18,825,449 is 2222550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,31,332

GCF of Fractions 26/18,31/825,332/449 is 1/2222550

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

Greatest Common Factor of 26,31,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,31,332 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 26,31,332 . The biggest common factor number is the GCF number.
So the greatest common factor 26,31,332 is 1.

Lets's calculate LCM of 18,825,449

3 18, 825, 449
6, 275, 449

∴ So the LCM of the given numbers is 3 x 6 x 275 x 449 = 2222550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2222550

Therefore, the GCF of Fractions 26/18,31/825,332/449 is 1/2222550

Least Common Multiple of 18,825,449 with GCF Formula

Least Common Multiple of 18,825,449 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 18,825,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,825,449) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(18,825,449) x common factors =1 x 3 = 3

LCM(18,825,449) = ( 18 × 825 × 449 ) / 3

LCM(18,825,449) = 6667650 / 3

LCM(18,825,449) = 2222550


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 26/18, 31/825, 332/449

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 26/18, 31/825, 332/449?

Answer: GCF of Numerators as per given numbers 26/18, 31/825, 332/449 is

GCF of Numerators i.e. for 26,31,332 is 1

LCM of denominators i.e. for 18,825,449 is 2222550.

Thus, GCF of Fractions is 1/2222550.Finally, GCF of Fractions for 26/18, 31/825, 332/449 is 1/2222550.