Greatest Common Factor of 426/58, 590/67, 292/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 426/58, 590/67, 292/74

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 426/58,590/67,292/74

Given fractions are 426/58,590/67,292/74

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 426,590,292

Greatest Common Factor of Numerators i.e. GCF of 426,590,292 is 2 .

LCM of Denominators means LCM of 58,67,74 as per the given fractions.

LCM of 58,67,74 is 143782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 426,590,292

GCF of Fractions 426/58,590/67,292/74 is 2/143782

2 426, 590, 292
213, 295, 146

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

Greatest Common Factor of 426,590,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,590,292 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 426,590,292 . The biggest common factor number is the GCF number.
So the greatest common factor 426,590,292 is 2.

Lets's calculate LCM of 58,67,74

2 58, 67, 74
29, 67, 37

∴ So the LCM of the given numbers is 2 x 29 x 67 x 37 = 143782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143782

Therefore, the GCF of Fractions 426/58,590/67,292/74 is 2/143782

Least Common Multiple of 58,67,74 with GCF Formula

Least Common Multiple of 58,67,74 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 58,67,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,67,74) = 1

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

GCF(58,67,74) x common factors =1 x 2 = 2

LCM(58,67,74) = ( 58 × 67 × 74 ) / 2

LCM(58,67,74) = 287564 / 2

LCM(58,67,74) = 143782


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 426/58, 590/67, 292/74

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 426/58, 590/67, 292/74?

Answer: GCF of Numerators as per given numbers 426/58, 590/67, 292/74 is

GCF of Numerators i.e. for 426,590,292 is 2

LCM of denominators i.e. for 58,67,74 is 143782.

Thus, GCF of Fractions is 2/143782.Finally, GCF of Fractions for 426/58, 590/67, 292/74 is 2/143782.