Greatest Common Factor of 44/26, 22/13, 57/20, 66/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/26, 22/13, 57/20, 66/435

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 44/26,22/13,57/20,66/435

Given fractions are 44/26,22/13,57/20,66/435

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 44,22,57,66

Greatest Common Factor of Numerators i.e. GCF of 44,22,57,66 is 1 .

LCM of Denominators means LCM of 26,13,20,435 as per the given fractions.

LCM of 26,13,20,435 is 22620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,22,57,66

GCF of Fractions 44/26,22/13,57/20,66/435 is 1/22620

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

Greatest Common Factor of 44,22,57,66 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,22,57,66 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Greatest Common Factor

We found the factors 44,22,57,66 . The biggest common factor number is the GCF number.
So the greatest common factor 44,22,57,66 is 1.

Lets's calculate LCM of 26,13,20,435

2 26, 13, 20, 435
5 13, 13, 10, 435
13 13, 13, 2, 87
1, 1, 2, 87

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 1 x 2 x 87 = 22620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22620

Therefore, the GCF of Fractions 44/26,22/13,57/20,66/435 is 1/22620

Least Common Multiple of 26,13,20,435 with GCF Formula

Least Common Multiple of 26,13,20,435 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 26,13,20,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,13,20,435) = 1

common factors(in case of two or more numbers have common factors) = 130

GCF(26,13,20,435) x common factors =1 x 130 = 130

LCM(26,13,20,435) = ( 26 × 13 × 20 × 435 ) / 130

LCM(26,13,20,435) = 2940600 / 130

LCM(26,13,20,435) = 22620


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 44/26, 22/13, 57/20, 66/435

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 44/26, 22/13, 57/20, 66/435?

Answer: GCF of Numerators as per given numbers 44/26, 22/13, 57/20, 66/435 is

GCF of Numerators i.e. for 44,22,57,66 is 1

LCM of denominators i.e. for 26,13,20,435 is 22620.

Thus, GCF of Fractions is 1/22620.Finally, GCF of Fractions for 44/26, 22/13, 57/20, 66/435 is 1/22620.