Greatest Common Factor of 824/34, 496/9524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/34, 496/9524

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 824/34,496/9524

Given fractions are 824/34,496/9524

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 824,496

Greatest Common Factor of Numerators i.e. GCF of 824,496 is 8 .

LCM of Denominators means LCM of 34,9524 as per the given fractions.

LCM of 34,9524 is 161908 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,496

GCF of Fractions 824/34,496/9524 is 8/161908

2 824, 496
2 412, 248
2 206, 124
103, 62

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 824,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,496 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 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 824,496 . The biggest common factor number is the GCF number.
So the greatest common factor 824,496 is 8.

Lets's calculate LCM of 34,9524

2 34, 9524
17, 4762

∴ So the LCM of the given numbers is 2 x 17 x 4762 = 161908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/161908

Therefore, the GCF of Fractions 824/34,496/9524 is 8/161908

Least Common Multiple of 34,9524 with GCF Formula

Least Common Multiple of 34,9524 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 34,9524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,9524) = 2

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

GCF(34,9524) x common factors =2 x 1 = 2

LCM(34,9524) = ( 34 × 9524 ) / 2

LCM(34,9524) = 323816 / 2

LCM(34,9524) = 161908


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 824/34, 496/9524

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 824/34, 496/9524?

Answer: GCF of Numerators as per given numbers 824/34, 496/9524 is

GCF of Numerators i.e. for 824,496 is 8

LCM of denominators i.e. for 34,9524 is 161908.

Thus, GCF of Fractions is 8/161908.Finally, GCF of Fractions for 824/34, 496/9524 is 8/161908.