GCD of 961, 100, 652, 515 Calculator

Given Input numbers are 961, 100, 652, 515

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

Divisors of 961

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

1, 31, 961

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 961, 100, 652, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 100, 652, 515 is 1.

Therefore, GCD of numbers 961, 100, 652, 515 is 1

Given Input Data is 961, 100, 652, 515

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 515 is 5 x 103

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(961, 100) = 96100

GCD(961, 100) = ( 961 x 100 ) / 96100

GCD(961, 100) = 96100 / 96100

GCD(961, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 515

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

LCM(1, 515) = 515

GCD(1, 515) = ( 1 x 515 ) / 515

GCD(1, 515) = 515 / 515

GCD(1, 515) = 1

GCD of 961, 100, 652, 515 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 294, 206, 625, 559
• GCD of 668, 489, 171, 218
• GCD of 667, 351, 173, 895
• GCD of 692, 650, 408, 824
• GCD of 789, 845, 327, 862

1. What is the GCD of 961, 100, 652, 515?

GCD of 961, 100, 652, 515 is 1

2. Where do I get the detailed procedure to find GCD of 961, 100, 652, 515?

You can find a detailed procedure to find GCD of 961, 100, 652, 515 on our page.

3. How to find GCD of 961, 100, 652, 515 on a calculator?

You can find the GCD of 961, 100, 652, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.