GCD of 460, 870, 242, 367 Calculator

Given Input numbers are 460, 870, 242, 367

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Greatest Common Divisior

We found the divisors of 460, 870, 242, 367 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 870, 242, 367 is 1.

Therefore, GCD of numbers 460, 870, 242, 367 is 1

Given Input Data is 460, 870, 242, 367

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 367 is 367

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(460, 870) = 40020

GCD(460, 870) = ( 460 x 870 ) / 40020

GCD(460, 870) = 400200 / 40020

GCD(460, 870) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 242

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 242) = 1210

GCD(10, 242) = ( 10 x 242 ) / 1210

GCD(10, 242) = 2420 / 1210

GCD(10, 242) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 367

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 367) = 734

GCD(2, 367) = ( 2 x 367 ) / 734

GCD(2, 367) = 734 / 734

GCD(2, 367) = 1

GCD of 460, 870, 242, 367 is 1

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1. What is the GCD of 460, 870, 242, 367?

GCD of 460, 870, 242, 367 is 1

2. Where do I get the detailed procedure to find GCD of 460, 870, 242, 367?

You can find a detailed procedure to find GCD of 460, 870, 242, 367 on our page.

3. How to find GCD of 460, 870, 242, 367 on a calculator?

You can find the GCD of 460, 870, 242, 367 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.