Greatest Common Factor of 1466/585, 8522/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1466/585, 8522/341

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 1466/585,8522/341

Given fractions are 1466/585,8522/341

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 1466,8522

Greatest Common Factor of Numerators i.e. GCF of 1466,8522 is 2 .

LCM of Denominators means LCM of 585,341 as per the given fractions.

LCM of 585,341 is 199485 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1466,8522

GCF of Fractions 1466/585,8522/341 is 2/199485

2 1466, 8522
733, 4261

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

Greatest Common Factor of 1466,8522 By Matching Biggest Common Factor Method

Greatest Common Factor of 1466,8522 By Matching Biggest Common Factor Method

Factors of 1466

List of positive integer factors of 1466 that divides 1466 without a remainder.

1,2,733,1466

Factors of 8522

List of positive integer factors of 8522 that divides 8522 without a remainder.

1,2,4261,8522

Greatest Common Factor

We found the factors 1466,8522 . The biggest common factor number is the GCF number.
So the greatest common factor 1466,8522 is 2.

Lets's calculate LCM of 585,341

Given numbers has no common factors except 1. So, there LCM is their product i.e 199485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199485

Therefore, the GCF of Fractions 1466/585,8522/341 is 2/199485

Least Common Multiple of 585,341 with GCF Formula

Least Common Multiple of 585,341 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 585,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,341) = 1

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

GCF(585,341) x common factors =1 x 1 = 1

LCM(585,341) = ( 585 × 341 ) / 1

LCM(585,341) = 199485 / 1

LCM(585,341) = 199485


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 1466/585, 8522/341

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 1466/585, 8522/341?

Answer: GCF of Numerators as per given numbers 1466/585, 8522/341 is

GCF of Numerators i.e. for 1466,8522 is 2

LCM of denominators i.e. for 585,341 is 199485.

Thus, GCF of Fractions is 2/199485.Finally, GCF of Fractions for 1466/585, 8522/341 is 2/199485.