Greatest Common Factor of 824/45, 4840/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/45, 4840/524

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 824/45,4840/524

Given fractions are 824/45,4840/524

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 824,4840

Greatest Common Factor of Numerators i.e. GCF of 824,4840 is 8 .

LCM of Denominators means LCM of 45,524 as per the given fractions.

LCM of 45,524 is 23580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,4840

GCF of Fractions 824/45,4840/524 is 8/23580

2 824, 4840
2 412, 2420
2 206, 1210
103, 605

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

Greatest Common Factor of 824,4840 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,4840 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 4840

List of positive integer factors of 4840 that divides 4840 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,121,220,242,440,484,605,968,1210,2420,4840

Greatest Common Factor

We found the factors 824,4840 . The biggest common factor number is the GCF number.
So the greatest common factor 824,4840 is 8.

Lets's calculate LCM of 45,524

Given numbers has no common factors except 1. So, there LCM is their product i.e 23580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/23580

Therefore, the GCF of Fractions 824/45,4840/524 is 8/23580

Least Common Multiple of 45,524 with GCF Formula

Least Common Multiple of 45,524 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 45,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,524) = 1

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

GCF(45,524) x common factors =1 x 1 = 1

LCM(45,524) = ( 45 × 524 ) / 1

LCM(45,524) = 23580 / 1

LCM(45,524) = 23580


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 824/45, 4840/524

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 824/45, 4840/524?

Answer: GCF of Numerators as per given numbers 824/45, 4840/524 is

GCF of Numerators i.e. for 824,4840 is 8

LCM of denominators i.e. for 45,524 is 23580.

Thus, GCF of Fractions is 8/23580.Finally, GCF of Fractions for 824/45, 4840/524 is 8/23580.