Greatest Common Factor of 8206/474, 5631/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8206/474, 5631/674

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 8206/474,5631/674

Given fractions are 8206/474,5631/674

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 8206,5631

Greatest Common Factor of Numerators i.e. GCF of 8206,5631 is 1 .

LCM of Denominators means LCM of 474,674 as per the given fractions.

LCM of 474,674 is 159738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8206,5631

GCF of Fractions 8206/474,5631/674 is 1/159738

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

Greatest Common Factor of 8206,5631 By Matching Biggest Common Factor Method

Greatest Common Factor of 8206,5631 By Matching Biggest Common Factor Method

Factors of 8206

List of positive integer factors of 8206 that divides 8206 without a remainder.

1,2,11,22,373,746,4103,8206

Factors of 5631

List of positive integer factors of 5631 that divides 5631 without a remainder.

1,3,1877,5631

Greatest Common Factor

We found the factors 8206,5631 . The biggest common factor number is the GCF number.
So the greatest common factor 8206,5631 is 1.

Lets's calculate LCM of 474,674

2 474, 674
237, 337

∴ So the LCM of the given numbers is 2 x 237 x 337 = 159738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159738

Therefore, the GCF of Fractions 8206/474,5631/674 is 1/159738

Least Common Multiple of 474,674 with GCF Formula

Least Common Multiple of 474,674 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 474,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,674) = 2

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

GCF(474,674) x common factors =2 x 1 = 2

LCM(474,674) = ( 474 × 674 ) / 2

LCM(474,674) = 319476 / 2

LCM(474,674) = 159738


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 8206/474, 5631/674

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 8206/474, 5631/674?

Answer: GCF of Numerators as per given numbers 8206/474, 5631/674 is

GCF of Numerators i.e. for 8206,5631 is 1

LCM of denominators i.e. for 474,674 is 159738.

Thus, GCF of Fractions is 1/159738.Finally, GCF of Fractions for 8206/474, 5631/674 is 1/159738.