Greatest Common Factor of 11/75, 14/26, 72/90, 34/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/75, 14/26, 72/90, 34/65

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 11/75,14/26,72/90,34/65

Given fractions are 11/75,14/26,72/90,34/65

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 11,14,72,34

Greatest Common Factor of Numerators i.e. GCF of 11,14,72,34 is 1 .

LCM of Denominators means LCM of 75,26,90,65 as per the given fractions.

LCM of 75,26,90,65 is 5850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,14,72,34

GCF of Fractions 11/75,14/26,72/90,34/65 is 1/5850

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

Greatest Common Factor of 11,14,72,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,14,72,34 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Greatest Common Factor

We found the factors 11,14,72,34 . The biggest common factor number is the GCF number.
So the greatest common factor 11,14,72,34 is 1.

Lets's calculate LCM of 75,26,90,65

2 75, 26, 90, 65
3 75, 13, 45, 65
5 25, 13, 15, 65
13 5, 13, 3, 13
5, 1, 3, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 13 x 5 x 1 x 3 x 1 = 5850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5850

Therefore, the GCF of Fractions 11/75,14/26,72/90,34/65 is 1/5850

Least Common Multiple of 75,26,90,65 with GCF Formula

Least Common Multiple of 75,26,90,65 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 75,26,90,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,26,90,65) = 1

common factors(in case of two or more numbers have common factors) = 1950

GCF(75,26,90,65) x common factors =1 x 1950 = 1950

LCM(75,26,90,65) = ( 75 × 26 × 90 × 65 ) / 1950

LCM(75,26,90,65) = 11407500 / 1950

LCM(75,26,90,65) = 5850


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 11/75, 14/26, 72/90, 34/65

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 11/75, 14/26, 72/90, 34/65?

Answer: GCF of Numerators as per given numbers 11/75, 14/26, 72/90, 34/65 is

GCF of Numerators i.e. for 11,14,72,34 is 1

LCM of denominators i.e. for 75,26,90,65 is 5850.

Thus, GCF of Fractions is 1/5850.Finally, GCF of Fractions for 11/75, 14/26, 72/90, 34/65 is 1/5850.