Greatest Common Factor of 629/51, 6817/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 629/51, 6817/546

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 629/51,6817/546

Given fractions are 629/51,6817/546

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 629,6817

Greatest Common Factor of Numerators i.e. GCF of 629,6817 is 17 .

LCM of Denominators means LCM of 51,546 as per the given fractions.

LCM of 51,546 is 9282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 629,6817

GCF of Fractions 629/51,6817/546 is 17/9282

17 629, 6817
37, 401

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 629,6817 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,6817 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 6817

List of positive integer factors of 6817 that divides 6817 without a remainder.

1,17,401,6817

Greatest Common Factor

We found the factors 629,6817 . The biggest common factor number is the GCF number.
So the greatest common factor 629,6817 is 17.

Lets's calculate LCM of 51,546

3 51, 546
17, 182

∴ So the LCM of the given numbers is 3 x 17 x 182 = 9282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/9282

Therefore, the GCF of Fractions 629/51,6817/546 is 17/9282

Least Common Multiple of 51,546 with GCF Formula

Least Common Multiple of 51,546 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 51,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,546) = 3

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

GCF(51,546) x common factors =3 x 1 = 3

LCM(51,546) = ( 51 × 546 ) / 3

LCM(51,546) = 27846 / 3

LCM(51,546) = 9282


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 629/51, 6817/546

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 629/51, 6817/546?

Answer: GCF of Numerators as per given numbers 629/51, 6817/546 is

GCF of Numerators i.e. for 629,6817 is 17

LCM of denominators i.e. for 51,546 is 9282.

Thus, GCF of Fractions is 17/9282.Finally, GCF of Fractions for 629/51, 6817/546 is 17/9282.