Greatest Common Factor of 664/45, 347/48, 517/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 664/45, 347/48, 517/23

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 664/45,347/48,517/23

Given fractions are 664/45,347/48,517/23

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 664,347,517

Greatest Common Factor of Numerators i.e. GCF of 664,347,517 is 1 .

LCM of Denominators means LCM of 45,48,23 as per the given fractions.

LCM of 45,48,23 is 16560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 664,347,517

GCF of Fractions 664/45,347/48,517/23 is 1/16560

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

Greatest Common Factor of 664,347,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,347,517 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

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 664,347,517 . The biggest common factor number is the GCF number.
So the greatest common factor 664,347,517 is 1.

Lets's calculate LCM of 45,48,23

3 45, 48, 23
15, 16, 23

∴ So the LCM of the given numbers is 3 x 15 x 16 x 23 = 16560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16560

Therefore, the GCF of Fractions 664/45,347/48,517/23 is 1/16560

Least Common Multiple of 45,48,23 with GCF Formula

Least Common Multiple of 45,48,23 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 45,48,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,48,23) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,48,23) x common factors =1 x 3 = 3

LCM(45,48,23) = ( 45 × 48 × 23 ) / 3

LCM(45,48,23) = 49680 / 3

LCM(45,48,23) = 16560


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 664/45, 347/48, 517/23

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 664/45, 347/48, 517/23?

Answer: GCF of Numerators as per given numbers 664/45, 347/48, 517/23 is

GCF of Numerators i.e. for 664,347,517 is 1

LCM of denominators i.e. for 45,48,23 is 16560.

Thus, GCF of Fractions is 1/16560.Finally, GCF of Fractions for 664/45, 347/48, 517/23 is 1/16560.