Greatest Common Factor of 774/462, 405/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 774/462, 405/769

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 774/462,405/769

Given fractions are 774/462,405/769

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 774,405

Greatest Common Factor of Numerators i.e. GCF of 774,405 is 9 .

LCM of Denominators means LCM of 462,769 as per the given fractions.

LCM of 462,769 is 355278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 774,405

GCF of Fractions 774/462,405/769 is 9/355278

3 774, 405
3 258, 135
86, 45

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 774,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,405 By Matching Biggest Common Factor Method

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

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Greatest Common Factor

We found the factors 774,405 . The biggest common factor number is the GCF number.
So the greatest common factor 774,405 is 9.

Lets's calculate LCM of 462,769

Given numbers has no common factors except 1. So, there LCM is their product i.e 355278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/355278

Therefore, the GCF of Fractions 774/462,405/769 is 9/355278

Least Common Multiple of 462,769 with GCF Formula

Least Common Multiple of 462,769 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 462,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,769) = 1

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

GCF(462,769) x common factors =1 x 1 = 1

LCM(462,769) = ( 462 × 769 ) / 1

LCM(462,769) = 355278 / 1

LCM(462,769) = 355278


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 774/462, 405/769

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 774/462, 405/769?

Answer: GCF of Numerators as per given numbers 774/462, 405/769 is

GCF of Numerators i.e. for 774,405 is 9

LCM of denominators i.e. for 462,769 is 355278.

Thus, GCF of Fractions is 9/355278.Finally, GCF of Fractions for 774/462, 405/769 is 9/355278.