GCD of 362, 619, 60, 653 Calculator

Given Input numbers are 362, 619, 60, 653

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 362, 619, 60, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 619, 60, 653 is 1.

Therefore, GCD of numbers 362, 619, 60, 653 is 1

Given Input Data is 362, 619, 60, 653

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 619 is 619

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 653 is 653

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(362, 619) = 224078

GCD(362, 619) = ( 362 x 619 ) / 224078

GCD(362, 619) = 224078 / 224078

GCD(362, 619) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 362, 619, 60, 653 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 869, 22, 905
• GCD of 765, 258, 38, 239
• GCD of 211, 239, 35, 912
• GCD of 755, 313, 63, 112
• GCD of 192, 145, 46, 888

1. What is the GCD of 362, 619, 60, 653?

GCD of 362, 619, 60, 653 is 1

2. Where do I get the detailed procedure to find GCD of 362, 619, 60, 653?

You can find a detailed procedure to find GCD of 362, 619, 60, 653 on our page.

3. How to find GCD of 362, 619, 60, 653 on a calculator?

You can find the GCD of 362, 619, 60, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.