Greatest Common Factor of 645/384, 6858/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 645/384, 6858/214

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 645/384,6858/214

Given fractions are 645/384,6858/214

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 645,6858

Greatest Common Factor of Numerators i.e. GCF of 645,6858 is 3 .

LCM of Denominators means LCM of 384,214 as per the given fractions.

LCM of 384,214 is 41088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 645,6858

GCF of Fractions 645/384,6858/214 is 3/41088

3 645, 6858
215, 2286

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 645,6858 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,6858 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858

Greatest Common Factor

We found the factors 645,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 645,6858 is 3.

Lets's calculate LCM of 384,214

2 384, 214
192, 107

∴ So the LCM of the given numbers is 2 x 192 x 107 = 41088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41088

Therefore, the GCF of Fractions 645/384,6858/214 is 3/41088

Least Common Multiple of 384,214 with GCF Formula

Least Common Multiple of 384,214 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 384,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,214) = 2

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

GCF(384,214) x common factors =2 x 1 = 2

LCM(384,214) = ( 384 × 214 ) / 2

LCM(384,214) = 82176 / 2

LCM(384,214) = 41088


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 645/384, 6858/214

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 645/384, 6858/214?

Answer: GCF of Numerators as per given numbers 645/384, 6858/214 is

GCF of Numerators i.e. for 645,6858 is 3

LCM of denominators i.e. for 384,214 is 41088.

Thus, GCF of Fractions is 3/41088.Finally, GCF of Fractions for 645/384, 6858/214 is 3/41088.