Greatest Common Factor of 450/503, 4982/571

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/503, 4982/571

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 450/503,4982/571

Given fractions are 450/503,4982/571

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 450,4982

Greatest Common Factor of Numerators i.e. GCF of 450,4982 is 2 .

LCM of Denominators means LCM of 503,571 as per the given fractions.

LCM of 503,571 is 287213 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,4982

GCF of Fractions 450/503,4982/571 is 2/287213

2 450, 4982
225, 2491

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

Greatest Common Factor of 450,4982 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,4982 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 4982

List of positive integer factors of 4982 that divides 4982 without a remainder.

1,2,47,53,94,106,2491,4982

Greatest Common Factor

We found the factors 450,4982 . The biggest common factor number is the GCF number.
So the greatest common factor 450,4982 is 2.

Lets's calculate LCM of 503,571

Given numbers has no common factors except 1. So, there LCM is their product i.e 287213

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/287213

Therefore, the GCF of Fractions 450/503,4982/571 is 2/287213

Least Common Multiple of 503,571 with GCF Formula

Least Common Multiple of 503,571 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 503,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,571) = 1

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

GCF(503,571) x common factors =1 x 1 = 1

LCM(503,571) = ( 503 × 571 ) / 1

LCM(503,571) = 287213 / 1

LCM(503,571) = 287213


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 450/503, 4982/571

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 450/503, 4982/571?

Answer: GCF of Numerators as per given numbers 450/503, 4982/571 is

GCF of Numerators i.e. for 450,4982 is 2

LCM of denominators i.e. for 503,571 is 287213.

Thus, GCF of Fractions is 2/287213.Finally, GCF of Fractions for 450/503, 4982/571 is 2/287213.