Greatest Common Factor of 92/58, 38/26, 354/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/58, 38/26, 354/269

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 92/58,38/26,354/269

Given fractions are 92/58,38/26,354/269

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 92,38,354

Greatest Common Factor of Numerators i.e. GCF of 92,38,354 is 2 .

LCM of Denominators means LCM of 58,26,269 as per the given fractions.

LCM of 58,26,269 is 202826 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,38,354

GCF of Fractions 92/58,38/26,354/269 is 2/202826

2 92, 38, 354
46, 19, 177

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

Greatest Common Factor of 92,38,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,38,354 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 92,38,354 . The biggest common factor number is the GCF number.
So the greatest common factor 92,38,354 is 2.

Lets's calculate LCM of 58,26,269

2 58, 26, 269
29, 13, 269

∴ So the LCM of the given numbers is 2 x 29 x 13 x 269 = 202826

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/202826

Therefore, the GCF of Fractions 92/58,38/26,354/269 is 2/202826

Least Common Multiple of 58,26,269 with GCF Formula

Least Common Multiple of 58,26,269 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 58,26,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,26,269) = 1

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

GCF(58,26,269) x common factors =1 x 2 = 2

LCM(58,26,269) = ( 58 × 26 × 269 ) / 2

LCM(58,26,269) = 405652 / 2

LCM(58,26,269) = 202826


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 92/58, 38/26, 354/269

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 92/58, 38/26, 354/269?

Answer: GCF of Numerators as per given numbers 92/58, 38/26, 354/269 is

GCF of Numerators i.e. for 92,38,354 is 2

LCM of denominators i.e. for 58,26,269 is 202826.

Thus, GCF of Fractions is 2/202826.Finally, GCF of Fractions for 92/58, 38/26, 354/269 is 2/202826.