Greatest Common Factor of 5067/663, 3569/8398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5067/663, 3569/8398

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 5067/663,3569/8398

Given fractions are 5067/663,3569/8398

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 5067,3569

Greatest Common Factor of Numerators i.e. GCF of 5067,3569 is 1 .

LCM of Denominators means LCM of 663,8398 as per the given fractions.

LCM of 663,8398 is 25194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5067,3569

GCF of Fractions 5067/663,3569/8398 is 1/25194

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

Greatest Common Factor of 5067,3569 By Matching Biggest Common Factor Method

Greatest Common Factor of 5067,3569 By Matching Biggest Common Factor Method

Factors of 5067

List of positive integer factors of 5067 that divides 5067 without a remainder.

1,3,9,563,1689,5067

Factors of 3569

List of positive integer factors of 3569 that divides 3569 without a remainder.

1,43,83,3569

Greatest Common Factor

We found the factors 5067,3569 . The biggest common factor number is the GCF number.
So the greatest common factor 5067,3569 is 1.

Lets's calculate LCM of 663,8398

13 663, 8398
17 51, 646
3, 38

∴ So the LCM of the given numbers is 13 x 17 x 3 x 38 = 25194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25194

Therefore, the GCF of Fractions 5067/663,3569/8398 is 1/25194

Least Common Multiple of 663,8398 with GCF Formula

Least Common Multiple of 663,8398 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 663,8398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,8398) = 221

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

GCF(663,8398) x common factors =221 x 1 = 221

LCM(663,8398) = ( 663 × 8398 ) / 221

LCM(663,8398) = 5567874 / 221

LCM(663,8398) = 25194


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 5067/663, 3569/8398

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 5067/663, 3569/8398?

Answer: GCF of Numerators as per given numbers 5067/663, 3569/8398 is

GCF of Numerators i.e. for 5067,3569 is 1

LCM of denominators i.e. for 663,8398 is 25194.

Thus, GCF of Fractions is 1/25194.Finally, GCF of Fractions for 5067/663, 3569/8398 is 1/25194.