Greatest Common Factor of 188/59, 926/46, 238/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 188/59, 926/46, 238/260

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 188/59,926/46,238/260

Given fractions are 188/59,926/46,238/260

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 188,926,238

Greatest Common Factor of Numerators i.e. GCF of 188,926,238 is 2 .

LCM of Denominators means LCM of 59,46,260 as per the given fractions.

LCM of 59,46,260 is 352820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 188,926,238

GCF of Fractions 188/59,926/46,238/260 is 2/352820

2 188, 926, 238
94, 463, 119

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

Greatest Common Factor of 188,926,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,926,238 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 188,926,238 . The biggest common factor number is the GCF number.
So the greatest common factor 188,926,238 is 2.

Lets's calculate LCM of 59,46,260

2 59, 46, 260
59, 23, 130

∴ So the LCM of the given numbers is 2 x 59 x 23 x 130 = 352820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/352820

Therefore, the GCF of Fractions 188/59,926/46,238/260 is 2/352820

Least Common Multiple of 59,46,260 with GCF Formula

Least Common Multiple of 59,46,260 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 59,46,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,46,260) = 1

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

GCF(59,46,260) x common factors =1 x 2 = 2

LCM(59,46,260) = ( 59 × 46 × 260 ) / 2

LCM(59,46,260) = 705640 / 2

LCM(59,46,260) = 352820


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 188/59, 926/46, 238/260

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 188/59, 926/46, 238/260?

Answer: GCF of Numerators as per given numbers 188/59, 926/46, 238/260 is

GCF of Numerators i.e. for 188,926,238 is 2

LCM of denominators i.e. for 59,46,260 is 352820.

Thus, GCF of Fractions is 2/352820.Finally, GCF of Fractions for 188/59, 926/46, 238/260 is 2/352820.