Greatest Common Factor of 58/313, 74/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/313, 74/478

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 58/313,74/478

Given fractions are 58/313,74/478

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 58,74

Greatest Common Factor of Numerators i.e. GCF of 58,74 is 2 .

LCM of Denominators means LCM of 313,478 as per the given fractions.

LCM of 313,478 is 149614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,74

GCF of Fractions 58/313,74/478 is 2/149614

2 58, 74
29, 37

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

Greatest Common Factor of 58,74 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,74 By Matching Biggest Common Factor Method

Factors of 58

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

1,2,29,58

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Greatest Common Factor

We found the factors 58,74 . The biggest common factor number is the GCF number.
So the greatest common factor 58,74 is 2.

Lets's calculate LCM of 313,478

Given numbers has no common factors except 1. So, there LCM is their product i.e 149614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/149614

Therefore, the GCF of Fractions 58/313,74/478 is 2/149614

Least Common Multiple of 313,478 with GCF Formula

Least Common Multiple of 313,478 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 313,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,478) = 1

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

GCF(313,478) x common factors =1 x 1 = 1

LCM(313,478) = ( 313 × 478 ) / 1

LCM(313,478) = 149614 / 1

LCM(313,478) = 149614


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 58/313, 74/478

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 58/313, 74/478?

Answer: GCF of Numerators as per given numbers 58/313, 74/478 is

GCF of Numerators i.e. for 58,74 is 2

LCM of denominators i.e. for 313,478 is 149614.

Thus, GCF of Fractions is 2/149614.Finally, GCF of Fractions for 58/313, 74/478 is 2/149614.