Greatest Common Factor of 42/13, 50/38, 55/30, 759/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/13, 50/38, 55/30, 759/13

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 42/13,50/38,55/30,759/13

Given fractions are 42/13,50/38,55/30,759/13

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 42,50,55,759

Greatest Common Factor of Numerators i.e. GCF of 42,50,55,759 is 1 .

LCM of Denominators means LCM of 13,38,30,13 as per the given fractions.

LCM of 13,38,30,13 is 7410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,50,55,759

GCF of Fractions 42/13,50/38,55/30,759/13 is 1/7410

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

Greatest Common Factor of 42,50,55,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,50,55,759 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 42,50,55,759 . The biggest common factor number is the GCF number.
So the greatest common factor 42,50,55,759 is 1.

Lets's calculate LCM of 13,38,30,13

2 13, 38, 30, 13
13 13, 19, 15, 13
1, 19, 15, 1

∴ So the LCM of the given numbers is 2 x 13 x 1 x 19 x 15 x 1 = 7410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7410

Therefore, the GCF of Fractions 42/13,50/38,55/30,759/13 is 1/7410

Least Common Multiple of 13,38,30,13 with GCF Formula

Least Common Multiple of 13,38,30,13 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 13,38,30,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,38,30,13) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(13,38,30,13) x common factors =1 x 26 = 26

LCM(13,38,30,13) = ( 13 × 38 × 30 × 13 ) / 26

LCM(13,38,30,13) = 192660 / 26

LCM(13,38,30,13) = 7410


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 42/13, 50/38, 55/30, 759/13

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 42/13, 50/38, 55/30, 759/13?

Answer: GCF of Numerators as per given numbers 42/13, 50/38, 55/30, 759/13 is

GCF of Numerators i.e. for 42,50,55,759 is 1

LCM of denominators i.e. for 13,38,30,13 is 7410.

Thus, GCF of Fractions is 1/7410.Finally, GCF of Fractions for 42/13, 50/38, 55/30, 759/13 is 1/7410.