GCD of 85, 995, 596, 655 Calculator

Given Input numbers are 85, 995, 596, 655

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

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

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 85, 995, 596, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 995, 596, 655 is 1.

Therefore, GCD of numbers 85, 995, 596, 655 is 1

Given Input Data is 85, 995, 596, 655

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 995 is 5 x 199

Prime Factorization of 596 is 2 x 2 x 149

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(85, 995) = 16915

GCD(85, 995) = ( 85 x 995 ) / 16915

GCD(85, 995) = 84575 / 16915

GCD(85, 995) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 596

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

LCM(5, 596) = 2980

GCD(5, 596) = ( 5 x 596 ) / 2980

GCD(5, 596) = 2980 / 2980

GCD(5, 596) = 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 85, 995, 596, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 663, 807, 966
• GCD of 23, 594, 703, 554
• GCD of 32, 106, 272, 126
• GCD of 20, 163, 500, 222
• GCD of 84, 357, 704, 727

1. What is the GCD of 85, 995, 596, 655?

GCD of 85, 995, 596, 655 is 1

2. Where do I get the detailed procedure to find GCD of 85, 995, 596, 655?

You can find a detailed procedure to find GCD of 85, 995, 596, 655 on our page.

3. How to find GCD of 85, 995, 596, 655 on a calculator?

You can find the GCD of 85, 995, 596, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.