Greatest Common Factor of 5/14, 81/62, 14/592, 444/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/14, 81/62, 14/592, 444/927

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 5/14,81/62,14/592,444/927

Given fractions are 5/14,81/62,14/592,444/927

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 5,81,14,444

Greatest Common Factor of Numerators i.e. GCF of 5,81,14,444 is 1 .

LCM of Denominators means LCM of 14,62,592,927 as per the given fractions.

LCM of 14,62,592,927 is 119086128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,81,14,444

GCF of Fractions 5/14,81/62,14/592,444/927 is 1/119086128

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

Greatest Common Factor of 5,81,14,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,81,14,444 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

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 5,81,14,444 . The biggest common factor number is the GCF number.
So the greatest common factor 5,81,14,444 is 1.

Lets's calculate LCM of 14,62,592,927

2 14, 62, 592, 927
7, 31, 296, 927

∴ So the LCM of the given numbers is 2 x 7 x 31 x 296 x 927 = 119086128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119086128

Therefore, the GCF of Fractions 5/14,81/62,14/592,444/927 is 1/119086128

Least Common Multiple of 14,62,592,927 with GCF Formula

Least Common Multiple of 14,62,592,927 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 14,62,592,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,62,592,927) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(14,62,592,927) x common factors =1 x 4 = 4

LCM(14,62,592,927) = ( 14 × 62 × 592 × 927 ) / 4

LCM(14,62,592,927) = 476344512 / 4

LCM(14,62,592,927) = 119086128


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 5/14, 81/62, 14/592, 444/927

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 5/14, 81/62, 14/592, 444/927?

Answer: GCF of Numerators as per given numbers 5/14, 81/62, 14/592, 444/927 is

GCF of Numerators i.e. for 5,81,14,444 is 1

LCM of denominators i.e. for 14,62,592,927 is 119086128.

Thus, GCF of Fractions is 1/119086128.Finally, GCF of Fractions for 5/14, 81/62, 14/592, 444/927 is 1/119086128.