Greatest Common Factor of 9/19, 14/75, 62/643, 629/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/19, 14/75, 62/643, 629/441

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 9/19,14/75,62/643,629/441

Given fractions are 9/19,14/75,62/643,629/441

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 9,14,62,629

Greatest Common Factor of Numerators i.e. GCF of 9,14,62,629 is 1 .

LCM of Denominators means LCM of 19,75,643,441 as per the given fractions.

LCM of 19,75,643,441 is 134692425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,14,62,629

GCF of Fractions 9/19,14/75,62/643,629/441 is 1/134692425

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

Greatest Common Factor of 9,14,62,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,14,62,629 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 14

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

1,2,7,14

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 9,14,62,629 . The biggest common factor number is the GCF number.
So the greatest common factor 9,14,62,629 is 1.

Lets's calculate LCM of 19,75,643,441

3 19, 75, 643, 441
19, 25, 643, 147

∴ So the LCM of the given numbers is 3 x 19 x 25 x 643 x 147 = 134692425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/134692425

Therefore, the GCF of Fractions 9/19,14/75,62/643,629/441 is 1/134692425

Least Common Multiple of 19,75,643,441 with GCF Formula

Least Common Multiple of 19,75,643,441 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 19,75,643,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,75,643,441) = 1

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

GCF(19,75,643,441) x common factors =1 x 3 = 3

LCM(19,75,643,441) = ( 19 × 75 × 643 × 441 ) / 3

LCM(19,75,643,441) = 404077275 / 3

LCM(19,75,643,441) = 134692425


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 9/19, 14/75, 62/643, 629/441

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 9/19, 14/75, 62/643, 629/441?

Answer: GCF of Numerators as per given numbers 9/19, 14/75, 62/643, 629/441 is

GCF of Numerators i.e. for 9,14,62,629 is 1

LCM of denominators i.e. for 19,75,643,441 is 134692425.

Thus, GCF of Fractions is 1/134692425.Finally, GCF of Fractions for 9/19, 14/75, 62/643, 629/441 is 1/134692425.