GCD of 21, 366, 767, 147 Calculator

Given Input numbers are 21, 366, 767, 147

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 21, 366, 767, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 366, 767, 147 is 1.

Therefore, GCD of numbers 21, 366, 767, 147 is 1

Given Input Data is 21, 366, 767, 147

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 767 is 13 x 59

Prime Factorization of 147 is 3 x 7 x 7

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(21, 366) = 2562

GCD(21, 366) = ( 21 x 366 ) / 2562

GCD(21, 366) = 7686 / 2562

GCD(21, 366) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 767

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

LCM(3, 767) = 2301

GCD(3, 767) = ( 3 x 767 ) / 2301

GCD(3, 767) = 2301 / 2301

GCD(3, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 21, 366, 767, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 830, 875, 616
• GCD of 26, 647, 842, 453
• GCD of 13, 998, 599, 586
• GCD of 54, 486, 734, 189
• GCD of 15, 866, 827, 653

1. What is the GCD of 21, 366, 767, 147?

GCD of 21, 366, 767, 147 is 1

2. Where do I get the detailed procedure to find GCD of 21, 366, 767, 147?

You can find a detailed procedure to find GCD of 21, 366, 767, 147 on our page.

3. How to find GCD of 21, 366, 767, 147 on a calculator?

You can find the GCD of 21, 366, 767, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.