Greatest Common Factor of 1231/567, 5346/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1231/567, 5346/362

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 1231/567,5346/362

Given fractions are 1231/567,5346/362

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 1231,5346

Greatest Common Factor of Numerators i.e. GCF of 1231,5346 is 1 .

LCM of Denominators means LCM of 567,362 as per the given fractions.

LCM of 567,362 is 205254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1231,5346

GCF of Fractions 1231/567,5346/362 is 1/205254

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

Greatest Common Factor of 1231,5346 By Matching Biggest Common Factor Method

Greatest Common Factor of 1231,5346 By Matching Biggest Common Factor Method

Factors of 1231

List of positive integer factors of 1231 that divides 1231 without a remainder.

1,1231

Factors of 5346

List of positive integer factors of 5346 that divides 5346 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346

Greatest Common Factor

We found the factors 1231,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 1231,5346 is 1.

Lets's calculate LCM of 567,362

Given numbers has no common factors except 1. So, there LCM is their product i.e 205254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/205254

Therefore, the GCF of Fractions 1231/567,5346/362 is 1/205254

Least Common Multiple of 567,362 with GCF Formula

Least Common Multiple of 567,362 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 567,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,362) = 1

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

GCF(567,362) x common factors =1 x 1 = 1

LCM(567,362) = ( 567 × 362 ) / 1

LCM(567,362) = 205254 / 1

LCM(567,362) = 205254


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 1231/567, 5346/362

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 1231/567, 5346/362?

Answer: GCF of Numerators as per given numbers 1231/567, 5346/362 is

GCF of Numerators i.e. for 1231,5346 is 1

LCM of denominators i.e. for 567,362 is 205254.

Thus, GCF of Fractions is 1/205254.Finally, GCF of Fractions for 1231/567, 5346/362 is 1/205254.