Greatest Common Factor of 507/412, 222/345, 205/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 507/412, 222/345, 205/587

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 507/412,222/345,205/587

Given fractions are 507/412,222/345,205/587

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 507,222,205

Greatest Common Factor of Numerators i.e. GCF of 507,222,205 is 1 .

LCM of Denominators means LCM of 412,345,587 as per the given fractions.

LCM of 412,345,587 is 83436180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 507,222,205

GCF of Fractions 507/412,222/345,205/587 is 1/83436180

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

Greatest Common Factor of 507,222,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,222,205 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 507,222,205 . The biggest common factor number is the GCF number.
So the greatest common factor 507,222,205 is 1.

Lets's calculate LCM of 412,345,587

Given numbers has no common factors except 1. So, there LCM is their product i.e 83436180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83436180

Therefore, the GCF of Fractions 507/412,222/345,205/587 is 1/83436180

Least Common Multiple of 412,345,587 with GCF Formula

Least Common Multiple of 412,345,587 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 412,345,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,345,587) = 1

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

GCF(412,345,587) x common factors =1 x 1 = 1

LCM(412,345,587) = ( 412 × 345 × 587 ) / 1

LCM(412,345,587) = 83436180 / 1

LCM(412,345,587) = 83436180


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 507/412, 222/345, 205/587

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 507/412, 222/345, 205/587?

Answer: GCF of Numerators as per given numbers 507/412, 222/345, 205/587 is

GCF of Numerators i.e. for 507,222,205 is 1

LCM of denominators i.e. for 412,345,587 is 83436180.

Thus, GCF of Fractions is 1/83436180.Finally, GCF of Fractions for 507/412, 222/345, 205/587 is 1/83436180.