GCD of 36, 840, 980, 629 Calculator

Given Input numbers are 36, 840, 980, 629

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 36, 840, 980, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 840, 980, 629 is 1.

Therefore, GCD of numbers 36, 840, 980, 629 is 1

Given Input Data is 36, 840, 980, 629

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 629 is 17 x 37

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(36, 840) = 2520

GCD(36, 840) = ( 36 x 840 ) / 2520

GCD(36, 840) = 30240 / 2520

GCD(36, 840) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 980

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

LCM(12, 980) = 2940

GCD(12, 980) = ( 12 x 980 ) / 2940

GCD(12, 980) = 11760 / 2940

GCD(12, 980) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 629

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

LCM(4, 629) = 2516

GCD(4, 629) = ( 4 x 629 ) / 2516

GCD(4, 629) = 2516 / 2516

GCD(4, 629) = 1

GCD of 36, 840, 980, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 171, 172, 239
• GCD of 45, 709, 822, 177
• GCD of 14, 186, 823, 684
• GCD of 10, 301, 636, 741
• GCD of 63, 238, 830, 283

1. What is the GCD of 36, 840, 980, 629?

GCD of 36, 840, 980, 629 is 1

2. Where do I get the detailed procedure to find GCD of 36, 840, 980, 629?

You can find a detailed procedure to find GCD of 36, 840, 980, 629 on our page.

3. How to find GCD of 36, 840, 980, 629 on a calculator?

You can find the GCD of 36, 840, 980, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.