GCD of 83, 961, 150, 642 Calculator

Given Input numbers are 83, 961, 150, 642

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 961

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

1, 31, 961

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 83, 961, 150, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 961, 150, 642 is 1.

Therefore, GCD of numbers 83, 961, 150, 642 is 1

Given Input Data is 83, 961, 150, 642

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

Prime Factorization of 83 is 83

Prime Factorization of 961 is 31 x 31

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 642 is 2 x 3 x 107

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(83, 961) = 79763

GCD(83, 961) = ( 83 x 961 ) / 79763

GCD(83, 961) = 79763 / 79763

GCD(83, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 83, 961, 150, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 543, 415, 971
• GCD of 17, 285, 922, 657
• GCD of 78, 844, 743, 213
• GCD of 95, 941, 558, 240
• GCD of 86, 303, 689, 342

1. What is the GCD of 83, 961, 150, 642?

GCD of 83, 961, 150, 642 is 1

2. Where do I get the detailed procedure to find GCD of 83, 961, 150, 642?

You can find a detailed procedure to find GCD of 83, 961, 150, 642 on our page.

3. How to find GCD of 83, 961, 150, 642 on a calculator?

You can find the GCD of 83, 961, 150, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.