Greatest Common Factor of 8169/998, 5634/9076

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8169/998, 5634/9076

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 8169/998,5634/9076

Given fractions are 8169/998,5634/9076

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 8169,5634

Greatest Common Factor of Numerators i.e. GCF of 8169,5634 is 3 .

LCM of Denominators means LCM of 998,9076 as per the given fractions.

LCM of 998,9076 is 4528924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8169,5634

GCF of Fractions 8169/998,5634/9076 is 3/4528924

3 8169, 5634
2723, 1878

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8169,5634 By Matching Biggest Common Factor Method

Greatest Common Factor of 8169,5634 By Matching Biggest Common Factor Method

Factors of 8169

List of positive integer factors of 8169 that divides 8169 without a remainder.

1,3,7,21,389,1167,2723,8169

Factors of 5634

List of positive integer factors of 5634 that divides 5634 without a remainder.

1,2,3,6,9,18,313,626,939,1878,2817,5634

Greatest Common Factor

We found the factors 8169,5634 . The biggest common factor number is the GCF number.
So the greatest common factor 8169,5634 is 3.

Lets's calculate LCM of 998,9076

2 998, 9076
499, 4538

∴ So the LCM of the given numbers is 2 x 499 x 4538 = 4528924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4528924

Therefore, the GCF of Fractions 8169/998,5634/9076 is 3/4528924

Least Common Multiple of 998,9076 with GCF Formula

Least Common Multiple of 998,9076 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 998,9076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,9076) = 2

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

GCF(998,9076) x common factors =2 x 1 = 2

LCM(998,9076) = ( 998 × 9076 ) / 2

LCM(998,9076) = 9057848 / 2

LCM(998,9076) = 4528924


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 8169/998, 5634/9076

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 8169/998, 5634/9076?

Answer: GCF of Numerators as per given numbers 8169/998, 5634/9076 is

GCF of Numerators i.e. for 8169,5634 is 3

LCM of denominators i.e. for 998,9076 is 4528924.

Thus, GCF of Fractions is 3/4528924.Finally, GCF of Fractions for 8169/998, 5634/9076 is 3/4528924.