GCD of 402, 515, 724, 608 Calculator

Given Input numbers are 402, 515, 724, 608

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 402, 515, 724, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 515, 724, 608 is 1.

Therefore, GCD of numbers 402, 515, 724, 608 is 1

Given Input Data is 402, 515, 724, 608

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 515 is 5 x 103

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(402, 515) = 207030

GCD(402, 515) = ( 402 x 515 ) / 207030

GCD(402, 515) = 207030 / 207030

GCD(402, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 608

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

LCM(1, 608) = 608

GCD(1, 608) = ( 1 x 608 ) / 608

GCD(1, 608) = 608 / 608

GCD(1, 608) = 1

GCD of 402, 515, 724, 608 is 1

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1. What is the GCD of 402, 515, 724, 608?

GCD of 402, 515, 724, 608 is 1

2. Where do I get the detailed procedure to find GCD of 402, 515, 724, 608?

You can find a detailed procedure to find GCD of 402, 515, 724, 608 on our page.

3. How to find GCD of 402, 515, 724, 608 on a calculator?

You can find the GCD of 402, 515, 724, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.