Greatest Common Factor of 2358/85, 6578/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2358/85, 6578/238

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 2358/85,6578/238

Given fractions are 2358/85,6578/238

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 2358,6578

Greatest Common Factor of Numerators i.e. GCF of 2358,6578 is 2 .

LCM of Denominators means LCM of 85,238 as per the given fractions.

LCM of 85,238 is 1190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2358,6578

GCF of Fractions 2358/85,6578/238 is 2/1190

2 2358, 6578
1179, 3289

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

Greatest Common Factor of 2358,6578 By Matching Biggest Common Factor Method

Greatest Common Factor of 2358,6578 By Matching Biggest Common Factor Method

Factors of 2358

List of positive integer factors of 2358 that divides 2358 without a remainder.

1,2,3,6,9,18,131,262,393,786,1179,2358

Factors of 6578

List of positive integer factors of 6578 that divides 6578 without a remainder.

1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578

Greatest Common Factor

We found the factors 2358,6578 . The biggest common factor number is the GCF number.
So the greatest common factor 2358,6578 is 2.

Lets's calculate LCM of 85,238

17 85, 238
5, 14

∴ So the LCM of the given numbers is 17 x 5 x 14 = 1190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1190

Therefore, the GCF of Fractions 2358/85,6578/238 is 2/1190

Least Common Multiple of 85,238 with GCF Formula

Least Common Multiple of 85,238 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 85,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,238) = 17

common factors(in case of two or more numbers have common factors) = 1

GCF(85,238) x common factors =17 x 1 = 17

LCM(85,238) = ( 85 × 238 ) / 17

LCM(85,238) = 20230 / 17

LCM(85,238) = 1190


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 2358/85, 6578/238

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 2358/85, 6578/238?

Answer: GCF of Numerators as per given numbers 2358/85, 6578/238 is

GCF of Numerators i.e. for 2358,6578 is 2

LCM of denominators i.e. for 85,238 is 1190.

Thus, GCF of Fractions is 2/1190.Finally, GCF of Fractions for 2358/85, 6578/238 is 2/1190.