Greatest Common Factor of 503/17, 500/68, 501/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 503/17, 500/68, 501/21

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 503/17,500/68,501/21

Given fractions are 503/17,500/68,501/21

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 503,500,501

Greatest Common Factor of Numerators i.e. GCF of 503,500,501 is 1 .

LCM of Denominators means LCM of 17,68,21 as per the given fractions.

LCM of 17,68,21 is 1428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 503,500,501

GCF of Fractions 503/17,500/68,501/21 is 1/1428

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

Greatest Common Factor of 503,500,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,500,501 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 503,500,501 . The biggest common factor number is the GCF number.
So the greatest common factor 503,500,501 is 1.

Lets's calculate LCM of 17,68,21

17 17, 68, 21
1, 4, 21

∴ So the LCM of the given numbers is 17 x 1 x 4 x 21 = 1428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1428

Therefore, the GCF of Fractions 503/17,500/68,501/21 is 1/1428

Least Common Multiple of 17,68,21 with GCF Formula

Least Common Multiple of 17,68,21 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 17,68,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,68,21) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,68,21) x common factors =1 x 17 = 17

LCM(17,68,21) = ( 17 × 68 × 21 ) / 17

LCM(17,68,21) = 24276 / 17

LCM(17,68,21) = 1428


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 503/17, 500/68, 501/21

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 503/17, 500/68, 501/21?

Answer: GCF of Numerators as per given numbers 503/17, 500/68, 501/21 is

GCF of Numerators i.e. for 503,500,501 is 1

LCM of denominators i.e. for 17,68,21 is 1428.

Thus, GCF of Fractions is 1/1428.Finally, GCF of Fractions for 503/17, 500/68, 501/21 is 1/1428.