Greatest Common Factor of 5225/498, 8022/5657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5225/498, 8022/5657

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 5225/498,8022/5657

Given fractions are 5225/498,8022/5657

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 5225,8022

Greatest Common Factor of Numerators i.e. GCF of 5225,8022 is 1 .

LCM of Denominators means LCM of 498,5657 as per the given fractions.

LCM of 498,5657 is 2817186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5225,8022

GCF of Fractions 5225/498,8022/5657 is 1/2817186

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

Greatest Common Factor of 5225,8022 By Matching Biggest Common Factor Method

Greatest Common Factor of 5225,8022 By Matching Biggest Common Factor Method

Factors of 5225

List of positive integer factors of 5225 that divides 5225 without a remainder.

1,5,11,19,25,55,95,209,275,475,1045,5225

Factors of 8022

List of positive integer factors of 8022 that divides 8022 without a remainder.

1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022

Greatest Common Factor

We found the factors 5225,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 5225,8022 is 1.

Lets's calculate LCM of 498,5657

Given numbers has no common factors except 1. So, there LCM is their product i.e 2817186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2817186

Therefore, the GCF of Fractions 5225/498,8022/5657 is 1/2817186

Least Common Multiple of 498,5657 with GCF Formula

Least Common Multiple of 498,5657 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 498,5657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,5657) = 1

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

GCF(498,5657) x common factors =1 x 1 = 1

LCM(498,5657) = ( 498 × 5657 ) / 1

LCM(498,5657) = 2817186 / 1

LCM(498,5657) = 2817186


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 5225/498, 8022/5657

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 5225/498, 8022/5657?

Answer: GCF of Numerators as per given numbers 5225/498, 8022/5657 is

GCF of Numerators i.e. for 5225,8022 is 1

LCM of denominators i.e. for 498,5657 is 2817186.

Thus, GCF of Fractions is 1/2817186.Finally, GCF of Fractions for 5225/498, 8022/5657 is 1/2817186.