Greatest Common Factor of 8249/364, 6281/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8249/364, 6281/992

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 8249/364,6281/992

Given fractions are 8249/364,6281/992

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 8249,6281

Greatest Common Factor of Numerators i.e. GCF of 8249,6281 is 1 .

LCM of Denominators means LCM of 364,992 as per the given fractions.

LCM of 364,992 is 90272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8249,6281

GCF of Fractions 8249/364,6281/992 is 1/90272

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

Greatest Common Factor of 8249,6281 By Matching Biggest Common Factor Method

Greatest Common Factor of 8249,6281 By Matching Biggest Common Factor Method

Factors of 8249

List of positive integer factors of 8249 that divides 8249 without a remainder.

1,73,113,8249

Factors of 6281

List of positive integer factors of 6281 that divides 6281 without a remainder.

1,11,571,6281

Greatest Common Factor

We found the factors 8249,6281 . The biggest common factor number is the GCF number.
So the greatest common factor 8249,6281 is 1.

Lets's calculate LCM of 364,992

2 364, 992
2 182, 496
91, 248

∴ So the LCM of the given numbers is 2 x 2 x 91 x 248 = 90272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90272

Therefore, the GCF of Fractions 8249/364,6281/992 is 1/90272

Least Common Multiple of 364,992 with GCF Formula

Least Common Multiple of 364,992 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 364,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,992) = 4

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

GCF(364,992) x common factors =4 x 1 = 4

LCM(364,992) = ( 364 × 992 ) / 4

LCM(364,992) = 361088 / 4

LCM(364,992) = 90272


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 8249/364, 6281/992

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 8249/364, 6281/992?

Answer: GCF of Numerators as per given numbers 8249/364, 6281/992 is

GCF of Numerators i.e. for 8249,6281 is 1

LCM of denominators i.e. for 364,992 is 90272.

Thus, GCF of Fractions is 1/90272.Finally, GCF of Fractions for 8249/364, 6281/992 is 1/90272.