Greatest Common Factor of 1465/512, 7466/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1465/512, 7466/631

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 1465/512,7466/631

Given fractions are 1465/512,7466/631

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 1465,7466

Greatest Common Factor of Numerators i.e. GCF of 1465,7466 is 1 .

LCM of Denominators means LCM of 512,631 as per the given fractions.

LCM of 512,631 is 323072 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1465,7466

GCF of Fractions 1465/512,7466/631 is 1/323072

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1465,7466 By Matching Biggest Common Factor Method

Greatest Common Factor of 1465,7466 By Matching Biggest Common Factor Method

Factors of 1465

List of positive integer factors of 1465 that divides 1465 without a remainder.

1,5,293,1465

Factors of 7466

List of positive integer factors of 7466 that divides 7466 without a remainder.

1,2,3733,7466

Greatest Common Factor

We found the factors 1465,7466 . The biggest common factor number is the GCF number.
So the greatest common factor 1465,7466 is 1.

Lets's calculate LCM of 512,631

Given numbers has no common factors except 1. So, there LCM is their product i.e 323072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323072

Therefore, the GCF of Fractions 1465/512,7466/631 is 1/323072

Least Common Multiple of 512,631 with GCF Formula

Least Common Multiple of 512,631 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 512,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,631) = 1

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

GCF(512,631) x common factors =1 x 1 = 1

LCM(512,631) = ( 512 × 631 ) / 1

LCM(512,631) = 323072 / 1

LCM(512,631) = 323072


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 1465/512, 7466/631

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 1465/512, 7466/631?

Answer: GCF of Numerators as per given numbers 1465/512, 7466/631 is

GCF of Numerators i.e. for 1465,7466 is 1

LCM of denominators i.e. for 512,631 is 323072.

Thus, GCF of Fractions is 1/323072.Finally, GCF of Fractions for 1465/512, 7466/631 is 1/323072.