Greatest Common Factor of 51/428, 27/171, 444/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/428, 27/171, 444/809

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 51/428,27/171,444/809

Given fractions are 51/428,27/171,444/809

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 51,27,444

Greatest Common Factor of Numerators i.e. GCF of 51,27,444 is 3 .

LCM of Denominators means LCM of 428,171,809 as per the given fractions.

LCM of 428,171,809 is 59209092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,27,444

GCF of Fractions 51/428,27/171,444/809 is 3/59209092

3 51, 27, 444
17, 9, 148

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 51,27,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,27,444 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 51,27,444 . The biggest common factor number is the GCF number.
So the greatest common factor 51,27,444 is 3.

Lets's calculate LCM of 428,171,809

Given numbers has no common factors except 1. So, there LCM is their product i.e 59209092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/59209092

Therefore, the GCF of Fractions 51/428,27/171,444/809 is 3/59209092

Least Common Multiple of 428,171,809 with GCF Formula

Least Common Multiple of 428,171,809 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 428,171,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,171,809) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(428,171,809) x common factors =1 x 1 = 1

LCM(428,171,809) = ( 428 × 171 × 809 ) / 1

LCM(428,171,809) = 59209092 / 1

LCM(428,171,809) = 59209092


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 51/428, 27/171, 444/809

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 51/428, 27/171, 444/809?

Answer: GCF of Numerators as per given numbers 51/428, 27/171, 444/809 is

GCF of Numerators i.e. for 51,27,444 is 3

LCM of denominators i.e. for 428,171,809 is 59209092.

Thus, GCF of Fractions is 3/59209092.Finally, GCF of Fractions for 51/428, 27/171, 444/809 is 3/59209092.