Greatest Common Factor of 824/842, 7503/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/842, 7503/477

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 824/842,7503/477

Given fractions are 824/842,7503/477

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 824,7503

Greatest Common Factor of Numerators i.e. GCF of 824,7503 is 1 .

LCM of Denominators means LCM of 842,477 as per the given fractions.

LCM of 842,477 is 401634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,7503

GCF of Fractions 824/842,7503/477 is 1/401634

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

Greatest Common Factor of 824,7503 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,7503 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 7503

List of positive integer factors of 7503 that divides 7503 without a remainder.

1,3,41,61,123,183,2501,7503

Greatest Common Factor

We found the factors 824,7503 . The biggest common factor number is the GCF number.
So the greatest common factor 824,7503 is 1.

Lets's calculate LCM of 842,477

Given numbers has no common factors except 1. So, there LCM is their product i.e 401634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/401634

Therefore, the GCF of Fractions 824/842,7503/477 is 1/401634

Least Common Multiple of 842,477 with GCF Formula

Least Common Multiple of 842,477 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 842,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,477) = 1

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

GCF(842,477) x common factors =1 x 1 = 1

LCM(842,477) = ( 842 × 477 ) / 1

LCM(842,477) = 401634 / 1

LCM(842,477) = 401634


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 824/842, 7503/477

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 824/842, 7503/477?

Answer: GCF of Numerators as per given numbers 824/842, 7503/477 is

GCF of Numerators i.e. for 824,7503 is 1

LCM of denominators i.e. for 842,477 is 401634.

Thus, GCF of Fractions is 1/401634.Finally, GCF of Fractions for 824/842, 7503/477 is 1/401634.