Greatest Common Factor of 5/49, 19/74, 58/481, 124/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/49, 19/74, 58/481, 124/104

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 5/49,19/74,58/481,124/104

Given fractions are 5/49,19/74,58/481,124/104

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 5,19,58,124

Greatest Common Factor of Numerators i.e. GCF of 5,19,58,124 is 1 .

LCM of Denominators means LCM of 49,74,481,104 as per the given fractions.

LCM of 49,74,481,104 is 188552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,19,58,124

GCF of Fractions 5/49,19/74,58/481,124/104 is 1/188552

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

Greatest Common Factor of 5,19,58,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,19,58,124 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 58

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

1,2,29,58

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 5,19,58,124 . The biggest common factor number is the GCF number.
So the greatest common factor 5,19,58,124 is 1.

Lets's calculate LCM of 49,74,481,104

2 49, 74, 481, 104
13 49, 37, 481, 52
37 49, 37, 37, 4
49, 1, 1, 4

∴ So the LCM of the given numbers is 2 x 13 x 37 x 49 x 1 x 1 x 4 = 188552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/188552

Therefore, the GCF of Fractions 5/49,19/74,58/481,124/104 is 1/188552

Least Common Multiple of 49,74,481,104 with GCF Formula

Least Common Multiple of 49,74,481,104 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 49,74,481,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,74,481,104) = 1

common factors(in case of two or more numbers have common factors) = 962

GCF(49,74,481,104) x common factors =1 x 962 = 962

LCM(49,74,481,104) = ( 49 × 74 × 481 × 104 ) / 962

LCM(49,74,481,104) = 181387024 / 962

LCM(49,74,481,104) = 188552


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 5/49, 19/74, 58/481, 124/104

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 5/49, 19/74, 58/481, 124/104?

Answer: GCF of Numerators as per given numbers 5/49, 19/74, 58/481, 124/104 is

GCF of Numerators i.e. for 5,19,58,124 is 1

LCM of denominators i.e. for 49,74,481,104 is 188552.

Thus, GCF of Fractions is 1/188552.Finally, GCF of Fractions for 5/49, 19/74, 58/481, 124/104 is 1/188552.