Greatest Common Factor of 20/58, 342/74, 410/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/58, 342/74, 410/624

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 20/58,342/74,410/624

Given fractions are 20/58,342/74,410/624

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 20,342,410

Greatest Common Factor of Numerators i.e. GCF of 20,342,410 is 2 .

LCM of Denominators means LCM of 58,74,624 as per the given fractions.

LCM of 58,74,624 is 669552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,342,410

GCF of Fractions 20/58,342/74,410/624 is 2/669552

2 20, 342, 410
10, 171, 205

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

Greatest Common Factor of 20,342,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,342,410 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 20,342,410 . The biggest common factor number is the GCF number.
So the greatest common factor 20,342,410 is 2.

Lets's calculate LCM of 58,74,624

2 58, 74, 624
29, 37, 312

∴ So the LCM of the given numbers is 2 x 29 x 37 x 312 = 669552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/669552

Therefore, the GCF of Fractions 20/58,342/74,410/624 is 2/669552

Least Common Multiple of 58,74,624 with GCF Formula

Least Common Multiple of 58,74,624 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 58,74,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,74,624) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(58,74,624) x common factors =2 x 2 = 4

LCM(58,74,624) = ( 58 × 74 × 624 ) / 4

LCM(58,74,624) = 2678208 / 4

LCM(58,74,624) = 669552


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 20/58, 342/74, 410/624

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 20/58, 342/74, 410/624?

Answer: GCF of Numerators as per given numbers 20/58, 342/74, 410/624 is

GCF of Numerators i.e. for 20,342,410 is 2

LCM of denominators i.e. for 58,74,624 is 669552.

Thus, GCF of Fractions is 2/669552.Finally, GCF of Fractions for 20/58, 342/74, 410/624 is 2/669552.