Greatest Common Factor of 827/642, 4287/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 827/642, 4287/218

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 827/642,4287/218

Given fractions are 827/642,4287/218

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 827,4287

Greatest Common Factor of Numerators i.e. GCF of 827,4287 is 1 .

LCM of Denominators means LCM of 642,218 as per the given fractions.

LCM of 642,218 is 69978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 827,4287

GCF of Fractions 827/642,4287/218 is 1/69978

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 827,4287 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,4287 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 4287

List of positive integer factors of 4287 that divides 4287 without a remainder.

1,3,1429,4287

Greatest Common Factor

We found the factors 827,4287 . The biggest common factor number is the GCF number.
So the greatest common factor 827,4287 is 1.

Lets's calculate LCM of 642,218

2 642, 218
321, 109

∴ So the LCM of the given numbers is 2 x 321 x 109 = 69978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69978

Therefore, the GCF of Fractions 827/642,4287/218 is 1/69978

Least Common Multiple of 642,218 with GCF Formula

Least Common Multiple of 642,218 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 642,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,218) = 2

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

GCF(642,218) x common factors =2 x 1 = 2

LCM(642,218) = ( 642 × 218 ) / 2

LCM(642,218) = 139956 / 2

LCM(642,218) = 69978


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 827/642, 4287/218

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 827/642, 4287/218?

Answer: GCF of Numerators as per given numbers 827/642, 4287/218 is

GCF of Numerators i.e. for 827,4287 is 1

LCM of denominators i.e. for 642,218 is 69978.

Thus, GCF of Fractions is 1/69978.Finally, GCF of Fractions for 827/642, 4287/218 is 1/69978.