Greatest Common Factor of 8227/362, 2994/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8227/362, 2994/680

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 8227/362,2994/680

Given fractions are 8227/362,2994/680

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 8227,2994

Greatest Common Factor of Numerators i.e. GCF of 8227,2994 is 1 .

LCM of Denominators means LCM of 362,680 as per the given fractions.

LCM of 362,680 is 123080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8227,2994

GCF of Fractions 8227/362,2994/680 is 1/123080

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

Greatest Common Factor of 8227,2994 By Matching Biggest Common Factor Method

Greatest Common Factor of 8227,2994 By Matching Biggest Common Factor Method

Factors of 8227

List of positive integer factors of 8227 that divides 8227 without a remainder.

1,19,433,8227

Factors of 2994

List of positive integer factors of 2994 that divides 2994 without a remainder.

1,2,3,6,499,998,1497,2994

Greatest Common Factor

We found the factors 8227,2994 . The biggest common factor number is the GCF number.
So the greatest common factor 8227,2994 is 1.

Lets's calculate LCM of 362,680

2 362, 680
181, 340

∴ So the LCM of the given numbers is 2 x 181 x 340 = 123080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123080

Therefore, the GCF of Fractions 8227/362,2994/680 is 1/123080

Least Common Multiple of 362,680 with GCF Formula

Least Common Multiple of 362,680 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 362,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,680) = 2

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

GCF(362,680) x common factors =2 x 1 = 2

LCM(362,680) = ( 362 × 680 ) / 2

LCM(362,680) = 246160 / 2

LCM(362,680) = 123080


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 8227/362, 2994/680

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 8227/362, 2994/680?

Answer: GCF of Numerators as per given numbers 8227/362, 2994/680 is

GCF of Numerators i.e. for 8227,2994 is 1

LCM of denominators i.e. for 362,680 is 123080.

Thus, GCF of Fractions is 1/123080.Finally, GCF of Fractions for 8227/362, 2994/680 is 1/123080.