GCD of 100, 652, 369, 626 Calculator

Given Input numbers are 100, 652, 369, 626

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

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 100, 652, 369, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 652, 369, 626 is 1.

Therefore, GCD of numbers 100, 652, 369, 626 is 1

Given Input Data is 100, 652, 369, 626

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

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 369 is 3 x 3 x 41

Prime Factorization of 626 is 2 x 313

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(100, 652) = 16300

GCD(100, 652) = ( 100 x 652 ) / 16300

GCD(100, 652) = 65200 / 16300

GCD(100, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 369

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

LCM(4, 369) = 1476

GCD(4, 369) = ( 4 x 369 ) / 1476

GCD(4, 369) = 1476 / 1476

GCD(4, 369) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 100, 652, 369, 626 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 250, 733, 571
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• GCD of 162, 653, 623, 502

1. What is the GCD of 100, 652, 369, 626?

GCD of 100, 652, 369, 626 is 1

2. Where do I get the detailed procedure to find GCD of 100, 652, 369, 626?

You can find a detailed procedure to find GCD of 100, 652, 369, 626 on our page.

3. How to find GCD of 100, 652, 369, 626 on a calculator?

You can find the GCD of 100, 652, 369, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.