Greatest Common Factor of 559/19, 646/19, 451/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 559/19, 646/19, 451/16

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 559/19,646/19,451/16

Given fractions are 559/19,646/19,451/16

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 559,646,451

Greatest Common Factor of Numerators i.e. GCF of 559,646,451 is 1 .

LCM of Denominators means LCM of 19,19,16 as per the given fractions.

LCM of 19,19,16 is 304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 559,646,451

GCF of Fractions 559/19,646/19,451/16 is 1/304

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

Greatest Common Factor of 559,646,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,646,451 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Greatest Common Factor

We found the factors 559,646,451 . The biggest common factor number is the GCF number.
So the greatest common factor 559,646,451 is 1.

Lets's calculate LCM of 19,19,16

19 19, 19, 16
1, 1, 16

∴ So the LCM of the given numbers is 19 x 1 x 1 x 16 = 304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304

Therefore, the GCF of Fractions 559/19,646/19,451/16 is 1/304

Least Common Multiple of 19,19,16 with GCF Formula

Least Common Multiple of 19,19,16 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 19,19,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,19,16) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(19,19,16) x common factors =1 x 19 = 19

LCM(19,19,16) = ( 19 × 19 × 16 ) / 19

LCM(19,19,16) = 5776 / 19

LCM(19,19,16) = 304


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 559/19, 646/19, 451/16

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 559/19, 646/19, 451/16?

Answer: GCF of Numerators as per given numbers 559/19, 646/19, 451/16 is

GCF of Numerators i.e. for 559,646,451 is 1

LCM of denominators i.e. for 19,19,16 is 304.

Thus, GCF of Fractions is 1/304.Finally, GCF of Fractions for 559/19, 646/19, 451/16 is 1/304.