Greatest Common Factor of 699/819, 774/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 699/819, 774/612

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 699/819,774/612

Given fractions are 699/819,774/612

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 699,774

Greatest Common Factor of Numerators i.e. GCF of 699,774 is 3 .

LCM of Denominators means LCM of 819,612 as per the given fractions.

LCM of 819,612 is 55692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 699,774

GCF of Fractions 699/819,774/612 is 3/55692

3 699, 774
233, 258

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 699,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 699,774 By Matching Biggest Common Factor Method

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 699,774 . The biggest common factor number is the GCF number.
So the greatest common factor 699,774 is 3.

Lets's calculate LCM of 819,612

3 819, 612
3 273, 204
91, 68

∴ So the LCM of the given numbers is 3 x 3 x 91 x 68 = 55692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/55692

Therefore, the GCF of Fractions 699/819,774/612 is 3/55692

Least Common Multiple of 819,612 with GCF Formula

Least Common Multiple of 819,612 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 819,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,612) = 9

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

GCF(819,612) x common factors =9 x 1 = 9

LCM(819,612) = ( 819 × 612 ) / 9

LCM(819,612) = 501228 / 9

LCM(819,612) = 55692


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 699/819, 774/612

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 699/819, 774/612?

Answer: GCF of Numerators as per given numbers 699/819, 774/612 is

GCF of Numerators i.e. for 699,774 is 3

LCM of denominators i.e. for 819,612 is 55692.

Thus, GCF of Fractions is 3/55692.Finally, GCF of Fractions for 699/819, 774/612 is 3/55692.