Greatest Common Factor of 2/58, 39/17, 14/878, 937/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/58, 39/17, 14/878, 937/629

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 2/58,39/17,14/878,937/629

Given fractions are 2/58,39/17,14/878,937/629

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 2,39,14,937

Greatest Common Factor of Numerators i.e. GCF of 2,39,14,937 is 1 .

LCM of Denominators means LCM of 58,17,878,629 as per the given fractions.

LCM of 58,17,878,629 is 16015598 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,39,14,937

GCF of Fractions 2/58,39/17,14/878,937/629 is 1/16015598

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

Greatest Common Factor of 2,39,14,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,39,14,937 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 14

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

1,2,7,14

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 2,39,14,937 . The biggest common factor number is the GCF number.
So the greatest common factor 2,39,14,937 is 1.

Lets's calculate LCM of 58,17,878,629

2 58, 17, 878, 629
17 29, 17, 439, 629
29, 1, 439, 37

∴ So the LCM of the given numbers is 2 x 17 x 29 x 1 x 439 x 37 = 16015598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16015598

Therefore, the GCF of Fractions 2/58,39/17,14/878,937/629 is 1/16015598

Least Common Multiple of 58,17,878,629 with GCF Formula

Least Common Multiple of 58,17,878,629 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 58,17,878,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,17,878,629) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(58,17,878,629) x common factors =1 x 34 = 34

LCM(58,17,878,629) = ( 58 × 17 × 878 × 629 ) / 34

LCM(58,17,878,629) = 544530332 / 34

LCM(58,17,878,629) = 16015598


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 2/58, 39/17, 14/878, 937/629

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 2/58, 39/17, 14/878, 937/629?

Answer: GCF of Numerators as per given numbers 2/58, 39/17, 14/878, 937/629 is

GCF of Numerators i.e. for 2,39,14,937 is 1

LCM of denominators i.e. for 58,17,878,629 is 16015598.

Thus, GCF of Fractions is 1/16015598.Finally, GCF of Fractions for 2/58, 39/17, 14/878, 937/629 is 1/16015598.