Greatest Common Factor of 11/625, 73/125, 517/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/625, 73/125, 517/510

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 11/625,73/125,517/510

Given fractions are 11/625,73/125,517/510

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 11,73,517

Greatest Common Factor of Numerators i.e. GCF of 11,73,517 is 1 .

LCM of Denominators means LCM of 625,125,510 as per the given fractions.

LCM of 625,125,510 is 63750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,73,517

GCF of Fractions 11/625,73/125,517/510 is 1/63750

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

Greatest Common Factor of 11,73,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,73,517 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 11,73,517 . The biggest common factor number is the GCF number.
So the greatest common factor 11,73,517 is 1.

Lets's calculate LCM of 625,125,510

5 625, 125, 510
5 125, 25, 102
5 5, 25, 102
1, 5, 102

∴ So the LCM of the given numbers is 5 x 5 x 5 x 1 x 5 x 102 = 63750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63750

Therefore, the GCF of Fractions 11/625,73/125,517/510 is 1/63750

Least Common Multiple of 625,125,510 with GCF Formula

Least Common Multiple of 625,125,510 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 625,125,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,125,510) = 5

common factors(in case of two or more numbers have common factors) = 125

GCF(625,125,510) x common factors =5 x 125 = 625

LCM(625,125,510) = ( 625 × 125 × 510 ) / 625

LCM(625,125,510) = 39843750 / 625

LCM(625,125,510) = 63750


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 11/625, 73/125, 517/510

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 11/625, 73/125, 517/510?

Answer: GCF of Numerators as per given numbers 11/625, 73/125, 517/510 is

GCF of Numerators i.e. for 11,73,517 is 1

LCM of denominators i.e. for 625,125,510 is 63750.

Thus, GCF of Fractions is 1/63750.Finally, GCF of Fractions for 11/625, 73/125, 517/510 is 1/63750.