GCD of 460, 563, 186, 715 Calculator

Given Input numbers are 460, 563, 186, 715

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 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 460, 563, 186, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 563, 186, 715 is 1.

Therefore, GCD of numbers 460, 563, 186, 715 is 1

Given Input Data is 460, 563, 186, 715

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 563 is 563

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 715 is 5 x 11 x 13

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, 563) = 258980

GCD(460, 563) = ( 460 x 563 ) / 258980

GCD(460, 563) = 258980 / 258980

GCD(460, 563) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

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

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 460, 563, 186, 715 is 1

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1. What is the GCD of 460, 563, 186, 715?

GCD of 460, 563, 186, 715 is 1

2. Where do I get the detailed procedure to find GCD of 460, 563, 186, 715?

You can find a detailed procedure to find GCD of 460, 563, 186, 715 on our page.

3. How to find GCD of 460, 563, 186, 715 on a calculator?

You can find the GCD of 460, 563, 186, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.