Greatest Common Factor of 17/507, 480/766, 502/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/507, 480/766, 502/898

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 17/507,480/766,502/898

Given fractions are 17/507,480/766,502/898

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 17,480,502

Greatest Common Factor of Numerators i.e. GCF of 17,480,502 is 1 .

LCM of Denominators means LCM of 507,766,898 as per the given fractions.

LCM of 507,766,898 is 174374538 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,480,502

GCF of Fractions 17/507,480/766,502/898 is 1/174374538

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

Greatest Common Factor of 17,480,502 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,480,502 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Greatest Common Factor

We found the factors 17,480,502 . The biggest common factor number is the GCF number.
So the greatest common factor 17,480,502 is 1.

Lets's calculate LCM of 507,766,898

2 507, 766, 898
507, 383, 449

∴ So the LCM of the given numbers is 2 x 507 x 383 x 449 = 174374538

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174374538

Therefore, the GCF of Fractions 17/507,480/766,502/898 is 1/174374538

Least Common Multiple of 507,766,898 with GCF Formula

Least Common Multiple of 507,766,898 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 507,766,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,766,898) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(507,766,898) x common factors =1 x 2 = 2

LCM(507,766,898) = ( 507 × 766 × 898 ) / 2

LCM(507,766,898) = 348749076 / 2

LCM(507,766,898) = 174374538


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 17/507, 480/766, 502/898

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 17/507, 480/766, 502/898?

Answer: GCF of Numerators as per given numbers 17/507, 480/766, 502/898 is

GCF of Numerators i.e. for 17,480,502 is 1

LCM of denominators i.e. for 507,766,898 is 174374538.

Thus, GCF of Fractions is 1/174374538.Finally, GCF of Fractions for 17/507, 480/766, 502/898 is 1/174374538.