Greatest Common Factor of 628/51, 706/77, 218/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 628/51, 706/77, 218/289

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 628/51,706/77,218/289

Given fractions are 628/51,706/77,218/289

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 628,706,218

Greatest Common Factor of Numerators i.e. GCF of 628,706,218 is 2 .

LCM of Denominators means LCM of 51,77,289 as per the given fractions.

LCM of 51,77,289 is 66759 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 628,706,218

GCF of Fractions 628/51,706/77,218/289 is 2/66759

2 628, 706, 218
314, 353, 109

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 628,706,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,706,218 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 628,706,218 . The biggest common factor number is the GCF number.
So the greatest common factor 628,706,218 is 2.

Lets's calculate LCM of 51,77,289

17 51, 77, 289
3, 77, 17

∴ So the LCM of the given numbers is 17 x 3 x 77 x 17 = 66759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66759

Therefore, the GCF of Fractions 628/51,706/77,218/289 is 2/66759

Least Common Multiple of 51,77,289 with GCF Formula

Least Common Multiple of 51,77,289 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 51,77,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,77,289) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(51,77,289) x common factors =1 x 17 = 17

LCM(51,77,289) = ( 51 × 77 × 289 ) / 17

LCM(51,77,289) = 1134903 / 17

LCM(51,77,289) = 66759


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 628/51, 706/77, 218/289

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 628/51, 706/77, 218/289?

Answer: GCF of Numerators as per given numbers 628/51, 706/77, 218/289 is

GCF of Numerators i.e. for 628,706,218 is 2

LCM of denominators i.e. for 51,77,289 is 66759.

Thus, GCF of Fractions is 2/66759.Finally, GCF of Fractions for 628/51, 706/77, 218/289 is 2/66759.