Greatest Common Factor of 464/365, 1462/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 464/365, 1462/774

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 464/365,1462/774

Given fractions are 464/365,1462/774

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 464,1462

Greatest Common Factor of Numerators i.e. GCF of 464,1462 is 2 .

LCM of Denominators means LCM of 365,774 as per the given fractions.

LCM of 365,774 is 282510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 464,1462

GCF of Fractions 464/365,1462/774 is 2/282510

2 464, 1462
232, 731

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

Greatest Common Factor of 464,1462 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,1462 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 1462

List of positive integer factors of 1462 that divides 1462 without a remainder.

1,2,17,34,43,86,731,1462

Greatest Common Factor

We found the factors 464,1462 . The biggest common factor number is the GCF number.
So the greatest common factor 464,1462 is 2.

Lets's calculate LCM of 365,774

Given numbers has no common factors except 1. So, there LCM is their product i.e 282510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/282510

Therefore, the GCF of Fractions 464/365,1462/774 is 2/282510

Least Common Multiple of 365,774 with GCF Formula

Least Common Multiple of 365,774 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 365,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,774) = 1

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

GCF(365,774) x common factors =1 x 1 = 1

LCM(365,774) = ( 365 × 774 ) / 1

LCM(365,774) = 282510 / 1

LCM(365,774) = 282510


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 464/365, 1462/774

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 464/365, 1462/774?

Answer: GCF of Numerators as per given numbers 464/365, 1462/774 is

GCF of Numerators i.e. for 464,1462 is 2

LCM of denominators i.e. for 365,774 is 282510.

Thus, GCF of Fractions is 2/282510.Finally, GCF of Fractions for 464/365, 1462/774 is 2/282510.