GCD of 759, 684, 34, 100 Calculator

Given Input numbers are 759, 684, 34, 100

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

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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

Greatest Common Divisior

We found the divisors of 759, 684, 34, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 684, 34, 100 is 1.

Therefore, GCD of numbers 759, 684, 34, 100 is 1

Given Input Data is 759, 684, 34, 100

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 34 is 2 x 17

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

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(759, 684) = 173052

GCD(759, 684) = ( 759 x 684 ) / 173052

GCD(759, 684) = 519156 / 173052

GCD(759, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 759, 684, 34, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 454, 66, 130
• GCD of 978, 510, 59, 816
• GCD of 622, 118, 47, 501
• GCD of 418, 420, 52, 225
• GCD of 520, 996, 22, 412

1. What is the GCD of 759, 684, 34, 100?

GCD of 759, 684, 34, 100 is 1

2. Where do I get the detailed procedure to find GCD of 759, 684, 34, 100?

You can find a detailed procedure to find GCD of 759, 684, 34, 100 on our page.

3. How to find GCD of 759, 684, 34, 100 on a calculator?

You can find the GCD of 759, 684, 34, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.