Greatest Common Factor of 824/490, 8459/8585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/490, 8459/8585

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 824/490,8459/8585

Given fractions are 824/490,8459/8585

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 824,8459

Greatest Common Factor of Numerators i.e. GCF of 824,8459 is 1 .

LCM of Denominators means LCM of 490,8585 as per the given fractions.

LCM of 490,8585 is 841330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,8459

GCF of Fractions 824/490,8459/8585 is 1/841330

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

Greatest Common Factor of 824,8459 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,8459 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 8459

List of positive integer factors of 8459 that divides 8459 without a remainder.

1,11,769,8459

Greatest Common Factor

We found the factors 824,8459 . The biggest common factor number is the GCF number.
So the greatest common factor 824,8459 is 1.

Lets's calculate LCM of 490,8585

5 490, 8585
98, 1717

∴ So the LCM of the given numbers is 5 x 98 x 1717 = 841330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/841330

Therefore, the GCF of Fractions 824/490,8459/8585 is 1/841330

Least Common Multiple of 490,8585 with GCF Formula

Least Common Multiple of 490,8585 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 490,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,8585) = 5

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

GCF(490,8585) x common factors =5 x 1 = 5

LCM(490,8585) = ( 490 × 8585 ) / 5

LCM(490,8585) = 4206650 / 5

LCM(490,8585) = 841330


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 824/490, 8459/8585

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 824/490, 8459/8585?

Answer: GCF of Numerators as per given numbers 824/490, 8459/8585 is

GCF of Numerators i.e. for 824,8459 is 1

LCM of denominators i.e. for 490,8585 is 841330.

Thus, GCF of Fractions is 1/841330.Finally, GCF of Fractions for 824/490, 8459/8585 is 1/841330.