Greatest Common Factor of 13/19, 30/50, 78/16, 51/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/19, 30/50, 78/16, 51/631

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 13/19,30/50,78/16,51/631

Given fractions are 13/19,30/50,78/16,51/631

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 13,30,78,51

Greatest Common Factor of Numerators i.e. GCF of 13,30,78,51 is 1 .

LCM of Denominators means LCM of 19,50,16,631 as per the given fractions.

LCM of 19,50,16,631 is 4795600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,30,78,51

GCF of Fractions 13/19,30/50,78/16,51/631 is 1/4795600

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

Greatest Common Factor of 13,30,78,51 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,30,78,51 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Greatest Common Factor

We found the factors 13,30,78,51 . The biggest common factor number is the GCF number.
So the greatest common factor 13,30,78,51 is 1.

Lets's calculate LCM of 19,50,16,631

2 19, 50, 16, 631
19, 25, 8, 631

∴ So the LCM of the given numbers is 2 x 19 x 25 x 8 x 631 = 4795600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4795600

Therefore, the GCF of Fractions 13/19,30/50,78/16,51/631 is 1/4795600

Least Common Multiple of 19,50,16,631 with GCF Formula

Least Common Multiple of 19,50,16,631 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 19,50,16,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,50,16,631) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(19,50,16,631) x common factors =1 x 2 = 2

LCM(19,50,16,631) = ( 19 × 50 × 16 × 631 ) / 2

LCM(19,50,16,631) = 9591200 / 2

LCM(19,50,16,631) = 4795600


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 13/19, 30/50, 78/16, 51/631

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 13/19, 30/50, 78/16, 51/631?

Answer: GCF of Numerators as per given numbers 13/19, 30/50, 78/16, 51/631 is

GCF of Numerators i.e. for 13,30,78,51 is 1

LCM of denominators i.e. for 19,50,16,631 is 4795600.

Thus, GCF of Fractions is 1/4795600.Finally, GCF of Fractions for 13/19, 30/50, 78/16, 51/631 is 1/4795600.