Greatest Common Factor of 58/68, 52/94, 424/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/68, 52/94, 424/146

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 58/68,52/94,424/146

Given fractions are 58/68,52/94,424/146

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 58,52,424

Greatest Common Factor of Numerators i.e. GCF of 58,52,424 is 2 .

LCM of Denominators means LCM of 68,94,146 as per the given fractions.

LCM of 68,94,146 is 233308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,52,424

GCF of Fractions 58/68,52/94,424/146 is 2/233308

2 58, 52, 424
29, 26, 212

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

Greatest Common Factor of 58,52,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,52,424 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 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 58,52,424 . The biggest common factor number is the GCF number.
So the greatest common factor 58,52,424 is 2.

Lets's calculate LCM of 68,94,146

2 68, 94, 146
34, 47, 73

∴ So the LCM of the given numbers is 2 x 34 x 47 x 73 = 233308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/233308

Therefore, the GCF of Fractions 58/68,52/94,424/146 is 2/233308

Least Common Multiple of 68,94,146 with GCF Formula

Least Common Multiple of 68,94,146 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 68,94,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,94,146) = 2

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

GCF(68,94,146) x common factors =2 x 2 = 4

LCM(68,94,146) = ( 68 × 94 × 146 ) / 4

LCM(68,94,146) = 933232 / 4

LCM(68,94,146) = 233308


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 58/68, 52/94, 424/146

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 58/68, 52/94, 424/146?

Answer: GCF of Numerators as per given numbers 58/68, 52/94, 424/146 is

GCF of Numerators i.e. for 58,52,424 is 2

LCM of denominators i.e. for 68,94,146 is 233308.

Thus, GCF of Fractions is 2/233308.Finally, GCF of Fractions for 58/68, 52/94, 424/146 is 2/233308.