Greatest Common Factor of 6185/217, 4210/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6185/217, 4210/882

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 6185/217,4210/882

Given fractions are 6185/217,4210/882

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 6185,4210

Greatest Common Factor of Numerators i.e. GCF of 6185,4210 is 5 .

LCM of Denominators means LCM of 217,882 as per the given fractions.

LCM of 217,882 is 27342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6185,4210

GCF of Fractions 6185/217,4210/882 is 5/27342

5 6185, 4210
1237, 842

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6185,4210 By Matching Biggest Common Factor Method

Greatest Common Factor of 6185,4210 By Matching Biggest Common Factor Method

Factors of 6185

List of positive integer factors of 6185 that divides 6185 without a remainder.

1,5,1237,6185

Factors of 4210

List of positive integer factors of 4210 that divides 4210 without a remainder.

1,2,5,10,421,842,2105,4210

Greatest Common Factor

We found the factors 6185,4210 . The biggest common factor number is the GCF number.
So the greatest common factor 6185,4210 is 5.

Lets's calculate LCM of 217,882

7 217, 882
31, 126

∴ So the LCM of the given numbers is 7 x 31 x 126 = 27342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/27342

Therefore, the GCF of Fractions 6185/217,4210/882 is 5/27342

Least Common Multiple of 217,882 with GCF Formula

Least Common Multiple of 217,882 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 217,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,882) = 7

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

GCF(217,882) x common factors =7 x 1 = 7

LCM(217,882) = ( 217 × 882 ) / 7

LCM(217,882) = 191394 / 7

LCM(217,882) = 27342


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 6185/217, 4210/882

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 6185/217, 4210/882?

Answer: GCF of Numerators as per given numbers 6185/217, 4210/882 is

GCF of Numerators i.e. for 6185,4210 is 5

LCM of denominators i.e. for 217,882 is 27342.

Thus, GCF of Fractions is 5/27342.Finally, GCF of Fractions for 6185/217, 4210/882 is 5/27342.