Greatest Common Factor of 8498/809, 2024/8256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8498/809, 2024/8256

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 8498/809,2024/8256

Given fractions are 8498/809,2024/8256

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 8498,2024

Greatest Common Factor of Numerators i.e. GCF of 8498,2024 is 2 .

LCM of Denominators means LCM of 809,8256 as per the given fractions.

LCM of 809,8256 is 6679104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8498,2024

GCF of Fractions 8498/809,2024/8256 is 2/6679104

2 8498, 2024
4249, 1012

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8498,2024 By Matching Biggest Common Factor Method

Greatest Common Factor of 8498,2024 By Matching Biggest Common Factor Method

Factors of 8498

List of positive integer factors of 8498 that divides 8498 without a remainder.

1,2,7,14,607,1214,4249,8498

Factors of 2024

List of positive integer factors of 2024 that divides 2024 without a remainder.

1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024

Greatest Common Factor

We found the factors 8498,2024 . The biggest common factor number is the GCF number.
So the greatest common factor 8498,2024 is 2.

Lets's calculate LCM of 809,8256

Given numbers has no common factors except 1. So, there LCM is their product i.e 6679104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6679104

Therefore, the GCF of Fractions 8498/809,2024/8256 is 2/6679104

Least Common Multiple of 809,8256 with GCF Formula

Least Common Multiple of 809,8256 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 809,8256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,8256) = 1

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

GCF(809,8256) x common factors =1 x 1 = 1

LCM(809,8256) = ( 809 × 8256 ) / 1

LCM(809,8256) = 6679104 / 1

LCM(809,8256) = 6679104


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 8498/809, 2024/8256

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 8498/809, 2024/8256?

Answer: GCF of Numerators as per given numbers 8498/809, 2024/8256 is

GCF of Numerators i.e. for 8498,2024 is 2

LCM of denominators i.e. for 809,8256 is 6679104.

Thus, GCF of Fractions is 2/6679104.Finally, GCF of Fractions for 8498/809, 2024/8256 is 2/6679104.