Greatest Common Factor of 488/503, 540/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 488/503, 540/403

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 488/503,540/403

Given fractions are 488/503,540/403

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 488,540

Greatest Common Factor of Numerators i.e. GCF of 488,540 is 4 .

LCM of Denominators means LCM of 503,403 as per the given fractions.

LCM of 503,403 is 202709 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 488,540

GCF of Fractions 488/503,540/403 is 4/202709

2 488, 540
2 244, 270
122, 135

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 488,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,540 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 488,540 . The biggest common factor number is the GCF number.
So the greatest common factor 488,540 is 4.

Lets's calculate LCM of 503,403

Given numbers has no common factors except 1. So, there LCM is their product i.e 202709

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/202709

Therefore, the GCF of Fractions 488/503,540/403 is 4/202709

Least Common Multiple of 503,403 with GCF Formula

Least Common Multiple of 503,403 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 503,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,403) = 1

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

GCF(503,403) x common factors =1 x 1 = 1

LCM(503,403) = ( 503 × 403 ) / 1

LCM(503,403) = 202709 / 1

LCM(503,403) = 202709


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 488/503, 540/403

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 488/503, 540/403?

Answer: GCF of Numerators as per given numbers 488/503, 540/403 is

GCF of Numerators i.e. for 488,540 is 4

LCM of denominators i.e. for 503,403 is 202709.

Thus, GCF of Fractions is 4/202709.Finally, GCF of Fractions for 488/503, 540/403 is 4/202709.