Greatest Common Factor of 50/98, 58/42, 12/49, 12/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 50/98, 58/42, 12/49, 12/14

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 50/98,58/42,12/49,12/14

Given fractions are 50/98,58/42,12/49,12/14

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 50,58,12,12

Greatest Common Factor of Numerators i.e. GCF of 50,58,12,12 is 2 .

LCM of Denominators means LCM of 98,42,49,14 as per the given fractions.

LCM of 98,42,49,14 is 294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 50,58,12,12

GCF of Fractions 50/98,58/42,12/49,12/14 is 2/294

2 50, 58, 12, 12
25, 29, 6, 6

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 50,58,12,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,58,12,12 By Matching Biggest Common Factor Method

Factors of 50

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

1,2,5,10,25,50

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 50,58,12,12 . The biggest common factor number is the GCF number.
So the greatest common factor 50,58,12,12 is 2.

Lets's calculate LCM of 98,42,49,14

2 98, 42, 49, 14
7 49, 21, 49, 7
7 1, 3, 7, 7
1, 3, 1, 1

∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 3 x 1 x 1 = 294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/294

Therefore, the GCF of Fractions 50/98,58/42,12/49,12/14 is 2/294

Least Common Multiple of 98,42,49,14 with GCF Formula

Least Common Multiple of 98,42,49,14 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 98,42,49,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,42,49,14) = 7

common factors(in case of two or more numbers have common factors) = 1372

GCF(98,42,49,14) x common factors =7 x 1372 = 9604

LCM(98,42,49,14) = ( 98 × 42 × 49 × 14 ) / 9604

LCM(98,42,49,14) = 2823576 / 9604

LCM(98,42,49,14) = 294


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 50/98, 58/42, 12/49, 12/14

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 50/98, 58/42, 12/49, 12/14?

Answer: GCF of Numerators as per given numbers 50/98, 58/42, 12/49, 12/14 is

GCF of Numerators i.e. for 50,58,12,12 is 2

LCM of denominators i.e. for 98,42,49,14 is 294.

Thus, GCF of Fractions is 2/294.Finally, GCF of Fractions for 50/98, 58/42, 12/49, 12/14 is 2/294.