Greatest Common Factor of 606/81, 678/81, 766/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 606/81, 678/81, 766/870

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 606/81,678/81,766/870

Given fractions are 606/81,678/81,766/870

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 606,678,766

Greatest Common Factor of Numerators i.e. GCF of 606,678,766 is 2 .

LCM of Denominators means LCM of 81,81,870 as per the given fractions.

LCM of 81,81,870 is 23490 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 606,678,766

GCF of Fractions 606/81,678/81,766/870 is 2/23490

2 606, 678, 766
303, 339, 383

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

Greatest Common Factor of 606,678,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 606,678,766 By Matching Biggest Common Factor Method

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 606,678,766 . The biggest common factor number is the GCF number.
So the greatest common factor 606,678,766 is 2.

Lets's calculate LCM of 81,81,870

3 81, 81, 870
3 27, 27, 290
3 9, 9, 290
3 3, 3, 290
1, 1, 290

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 1 x 1 x 290 = 23490

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23490

Therefore, the GCF of Fractions 606/81,678/81,766/870 is 2/23490

Least Common Multiple of 81,81,870 with GCF Formula

Least Common Multiple of 81,81,870 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 81,81,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,81,870) = 3

common factors(in case of two or more numbers have common factors) = 81

GCF(81,81,870) x common factors =3 x 81 = 243

LCM(81,81,870) = ( 81 × 81 × 870 ) / 243

LCM(81,81,870) = 5708070 / 243

LCM(81,81,870) = 23490


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 606/81, 678/81, 766/870

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 606/81, 678/81, 766/870?

Answer: GCF of Numerators as per given numbers 606/81, 678/81, 766/870 is

GCF of Numerators i.e. for 606,678,766 is 2

LCM of denominators i.e. for 81,81,870 is 23490.

Thus, GCF of Fractions is 2/23490.Finally, GCF of Fractions for 606/81, 678/81, 766/870 is 2/23490.