GCD of 85, 204, 955, 961 Calculator

Given Input numbers are 85, 204, 955, 961

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 85, 204, 955, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 204, 955, 961 is 1.

Therefore, GCD of numbers 85, 204, 955, 961 is 1

Given Input Data is 85, 204, 955, 961

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 955 is 5 x 191

Prime Factorization of 961 is 31 x 31

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, 204) = 1020

GCD(85, 204) = ( 85 x 204 ) / 1020

GCD(85, 204) = 17340 / 1020

GCD(85, 204) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 955

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

LCM(17, 955) = 16235

GCD(17, 955) = ( 17 x 955 ) / 16235

GCD(17, 955) = 16235 / 16235

GCD(17, 955) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 85, 204, 955, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 735, 778, 559
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• GCD of 10, 543, 580, 368
• GCD of 40, 513, 559, 291
• GCD of 37, 518, 424, 578

1. What is the GCD of 85, 204, 955, 961?

GCD of 85, 204, 955, 961 is 1

2. Where do I get the detailed procedure to find GCD of 85, 204, 955, 961?

You can find a detailed procedure to find GCD of 85, 204, 955, 961 on our page.

3. How to find GCD of 85, 204, 955, 961 on a calculator?

You can find the GCD of 85, 204, 955, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.