Greatest Common Factor of 629/21, 817/75, 743/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 629/21, 817/75, 743/56

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 629/21,817/75,743/56

Given fractions are 629/21,817/75,743/56

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 629,817,743

Greatest Common Factor of Numerators i.e. GCF of 629,817,743 is 1 .

LCM of Denominators means LCM of 21,75,56 as per the given fractions.

LCM of 21,75,56 is 4200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 629,817,743

GCF of Fractions 629/21,817/75,743/56 is 1/4200

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

Greatest Common Factor of 629,817,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,817,743 By Matching Biggest Common Factor Method

Factors of 629

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

1,17,37,629

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 629,817,743 . The biggest common factor number is the GCF number.
So the greatest common factor 629,817,743 is 1.

Lets's calculate LCM of 21,75,56

3 21, 75, 56
7 7, 25, 56
1, 25, 8

∴ So the LCM of the given numbers is 3 x 7 x 1 x 25 x 8 = 4200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4200

Therefore, the GCF of Fractions 629/21,817/75,743/56 is 1/4200

Least Common Multiple of 21,75,56 with GCF Formula

Least Common Multiple of 21,75,56 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 21,75,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,75,56) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(21,75,56) x common factors =1 x 21 = 21

LCM(21,75,56) = ( 21 × 75 × 56 ) / 21

LCM(21,75,56) = 88200 / 21

LCM(21,75,56) = 4200


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 629/21, 817/75, 743/56

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 629/21, 817/75, 743/56?

Answer: GCF of Numerators as per given numbers 629/21, 817/75, 743/56 is

GCF of Numerators i.e. for 629,817,743 is 1

LCM of denominators i.e. for 21,75,56 is 4200.

Thus, GCF of Fractions is 1/4200.Finally, GCF of Fractions for 629/21, 817/75, 743/56 is 1/4200.