Greatest Common Factor of 6947/361, 8727/2182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6947/361, 8727/2182

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 6947/361,8727/2182

Given fractions are 6947/361,8727/2182

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 6947,8727

Greatest Common Factor of Numerators i.e. GCF of 6947,8727 is 1 .

LCM of Denominators means LCM of 361,2182 as per the given fractions.

LCM of 361,2182 is 787702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6947,8727

GCF of Fractions 6947/361,8727/2182 is 1/787702

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

Greatest Common Factor of 6947,8727 By Matching Biggest Common Factor Method

Greatest Common Factor of 6947,8727 By Matching Biggest Common Factor Method

Factors of 6947

List of positive integer factors of 6947 that divides 6947 without a remainder.

1,6947

Factors of 8727

List of positive integer factors of 8727 that divides 8727 without a remainder.

1,3,2909,8727

Greatest Common Factor

We found the factors 6947,8727 . The biggest common factor number is the GCF number.
So the greatest common factor 6947,8727 is 1.

Lets's calculate LCM of 361,2182

Given numbers has no common factors except 1. So, there LCM is their product i.e 787702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/787702

Therefore, the GCF of Fractions 6947/361,8727/2182 is 1/787702

Least Common Multiple of 361,2182 with GCF Formula

Least Common Multiple of 361,2182 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 361,2182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,2182) = 1

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

GCF(361,2182) x common factors =1 x 1 = 1

LCM(361,2182) = ( 361 × 2182 ) / 1

LCM(361,2182) = 787702 / 1

LCM(361,2182) = 787702


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 6947/361, 8727/2182

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 6947/361, 8727/2182?

Answer: GCF of Numerators as per given numbers 6947/361, 8727/2182 is

GCF of Numerators i.e. for 6947,8727 is 1

LCM of denominators i.e. for 361,2182 is 787702.

Thus, GCF of Fractions is 1/787702.Finally, GCF of Fractions for 6947/361, 8727/2182 is 1/787702.