Greatest Common Factor of 8225/829, 6554/5488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8225/829, 6554/5488

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 8225/829,6554/5488

Given fractions are 8225/829,6554/5488

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 8225,6554

Greatest Common Factor of Numerators i.e. GCF of 8225,6554 is 1 .

LCM of Denominators means LCM of 829,5488 as per the given fractions.

LCM of 829,5488 is 4549552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8225,6554

GCF of Fractions 8225/829,6554/5488 is 1/4549552

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

Greatest Common Factor of 8225,6554 By Matching Biggest Common Factor Method

Greatest Common Factor of 8225,6554 By Matching Biggest Common Factor Method

Factors of 8225

List of positive integer factors of 8225 that divides 8225 without a remainder.

1,5,7,25,35,47,175,235,329,1175,1645,8225

Factors of 6554

List of positive integer factors of 6554 that divides 6554 without a remainder.

1,2,29,58,113,226,3277,6554

Greatest Common Factor

We found the factors 8225,6554 . The biggest common factor number is the GCF number.
So the greatest common factor 8225,6554 is 1.

Lets's calculate LCM of 829,5488

Given numbers has no common factors except 1. So, there LCM is their product i.e 4549552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4549552

Therefore, the GCF of Fractions 8225/829,6554/5488 is 1/4549552

Least Common Multiple of 829,5488 with GCF Formula

Least Common Multiple of 829,5488 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 829,5488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,5488) = 1

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

GCF(829,5488) x common factors =1 x 1 = 1

LCM(829,5488) = ( 829 × 5488 ) / 1

LCM(829,5488) = 4549552 / 1

LCM(829,5488) = 4549552


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 8225/829, 6554/5488

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 8225/829, 6554/5488?

Answer: GCF of Numerators as per given numbers 8225/829, 6554/5488 is

GCF of Numerators i.e. for 8225,6554 is 1

LCM of denominators i.e. for 829,5488 is 4549552.

Thus, GCF of Fractions is 1/4549552.Finally, GCF of Fractions for 8225/829, 6554/5488 is 1/4549552.