Greatest Common Factor of 38/65, 56/78, 74/50, 26/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/65, 56/78, 74/50, 26/484

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 38/65,56/78,74/50,26/484

Given fractions are 38/65,56/78,74/50,26/484

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 38,56,74,26

Greatest Common Factor of Numerators i.e. GCF of 38,56,74,26 is 2 .

LCM of Denominators means LCM of 65,78,50,484 as per the given fractions.

LCM of 65,78,50,484 is 471900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,56,74,26

GCF of Fractions 38/65,56/78,74/50,26/484 is 2/471900

2 38, 56, 74, 26
19, 28, 37, 13

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,56,74,26 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,56,74,26 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 26

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

1,2,13,26

Greatest Common Factor

We found the factors 38,56,74,26 . The biggest common factor number is the GCF number.
So the greatest common factor 38,56,74,26 is 2.

Lets's calculate LCM of 65,78,50,484

2 65, 78, 50, 484
5 65, 39, 25, 242
13 13, 39, 5, 242
1, 3, 5, 242

∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 3 x 5 x 242 = 471900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/471900

Therefore, the GCF of Fractions 38/65,56/78,74/50,26/484 is 2/471900

Least Common Multiple of 65,78,50,484 with GCF Formula

Least Common Multiple of 65,78,50,484 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 65,78,50,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,78,50,484) = 1

common factors(in case of two or more numbers have common factors) = 260

GCF(65,78,50,484) x common factors =1 x 260 = 260

LCM(65,78,50,484) = ( 65 × 78 × 50 × 484 ) / 260

LCM(65,78,50,484) = 122694000 / 260

LCM(65,78,50,484) = 471900


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 38/65, 56/78, 74/50, 26/484

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 38/65, 56/78, 74/50, 26/484?

Answer: GCF of Numerators as per given numbers 38/65, 56/78, 74/50, 26/484 is

GCF of Numerators i.e. for 38,56,74,26 is 2

LCM of denominators i.e. for 65,78,50,484 is 471900.

Thus, GCF of Fractions is 2/471900.Finally, GCF of Fractions for 38/65, 56/78, 74/50, 26/484 is 2/471900.