Greatest Common Factor of 59/19, 721/53, 942/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 59/19, 721/53, 942/762

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 59/19,721/53,942/762

Given fractions are 59/19,721/53,942/762

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 59,721,942

Greatest Common Factor of Numerators i.e. GCF of 59,721,942 is 1 .

LCM of Denominators means LCM of 19,53,762 as per the given fractions.

LCM of 19,53,762 is 767334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 59,721,942

GCF of Fractions 59/19,721/53,942/762 is 1/767334

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

Greatest Common Factor of 59,721,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,721,942 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 59,721,942 . The biggest common factor number is the GCF number.
So the greatest common factor 59,721,942 is 1.

Lets's calculate LCM of 19,53,762

Given numbers has no common factors except 1. So, there LCM is their product i.e 767334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/767334

Therefore, the GCF of Fractions 59/19,721/53,942/762 is 1/767334

Least Common Multiple of 19,53,762 with GCF Formula

Least Common Multiple of 19,53,762 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 19,53,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,53,762) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(19,53,762) x common factors =1 x 1 = 1

LCM(19,53,762) = ( 19 × 53 × 762 ) / 1

LCM(19,53,762) = 767334 / 1

LCM(19,53,762) = 767334


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 59/19, 721/53, 942/762

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 59/19, 721/53, 942/762?

Answer: GCF of Numerators as per given numbers 59/19, 721/53, 942/762 is

GCF of Numerators i.e. for 59,721,942 is 1

LCM of denominators i.e. for 19,53,762 is 767334.

Thus, GCF of Fractions is 1/767334.Finally, GCF of Fractions for 59/19, 721/53, 942/762 is 1/767334.