GCD of 602, 360, 803, 655 Calculator

Given Input numbers are 602, 360, 803, 655

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

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 602, 360, 803, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 360, 803, 655 is 1.

Therefore, GCD of numbers 602, 360, 803, 655 is 1

Given Input Data is 602, 360, 803, 655

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 803 is 11 x 73

Prime Factorization of 655 is 5 x 131

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(602, 360) = 108360

GCD(602, 360) = ( 602 x 360 ) / 108360

GCD(602, 360) = 216720 / 108360

GCD(602, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 803

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

LCM(2, 803) = 1606

GCD(2, 803) = ( 2 x 803 ) / 1606

GCD(2, 803) = 1606 / 1606

GCD(2, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 602, 360, 803, 655 is 1

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1. What is the GCD of 602, 360, 803, 655?

GCD of 602, 360, 803, 655 is 1

2. Where do I get the detailed procedure to find GCD of 602, 360, 803, 655?

You can find a detailed procedure to find GCD of 602, 360, 803, 655 on our page.

3. How to find GCD of 602, 360, 803, 655 on a calculator?

You can find the GCD of 602, 360, 803, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.