Greatest Common Factor of 8017/906, 4218/1294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8017/906, 4218/1294

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 8017/906,4218/1294

Given fractions are 8017/906,4218/1294

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 8017,4218

Greatest Common Factor of Numerators i.e. GCF of 8017,4218 is 1 .

LCM of Denominators means LCM of 906,1294 as per the given fractions.

LCM of 906,1294 is 586182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8017,4218

GCF of Fractions 8017/906,4218/1294 is 1/586182

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

Greatest Common Factor of 8017,4218 By Matching Biggest Common Factor Method

Greatest Common Factor of 8017,4218 By Matching Biggest Common Factor Method

Factors of 8017

List of positive integer factors of 8017 that divides 8017 without a remainder.

1,8017

Factors of 4218

List of positive integer factors of 4218 that divides 4218 without a remainder.

1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218

Greatest Common Factor

We found the factors 8017,4218 . The biggest common factor number is the GCF number.
So the greatest common factor 8017,4218 is 1.

Lets's calculate LCM of 906,1294

2 906, 1294
453, 647

∴ So the LCM of the given numbers is 2 x 453 x 647 = 586182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586182

Therefore, the GCF of Fractions 8017/906,4218/1294 is 1/586182

Least Common Multiple of 906,1294 with GCF Formula

Least Common Multiple of 906,1294 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 906,1294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,1294) = 2

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

GCF(906,1294) x common factors =2 x 1 = 2

LCM(906,1294) = ( 906 × 1294 ) / 2

LCM(906,1294) = 1172364 / 2

LCM(906,1294) = 586182


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 8017/906, 4218/1294

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 8017/906, 4218/1294?

Answer: GCF of Numerators as per given numbers 8017/906, 4218/1294 is

GCF of Numerators i.e. for 8017,4218 is 1

LCM of denominators i.e. for 906,1294 is 586182.

Thus, GCF of Fractions is 1/586182.Finally, GCF of Fractions for 8017/906, 4218/1294 is 1/586182.