GCD of 963, 438, 21, 460 Calculator

Given Input numbers are 963, 438, 21, 460

In the factoring method, we have to find the divisors of all numbers

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 21 :

The positive integer divisors of 21 that completely divides 21 are.

1, 3, 7, 21

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (963, 438, 21, 460) = 1.

Given numbers are 963, 438, 21, 460

The list of prime factors of all numbers are

Prime factors of 963 are 3 x 3 x 107

Prime factors of 438 are 2 x 3 x 73

Prime factors of 21 are 3 x 7

Prime factors of 460 are 2 x 2 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 963, 438, 21, 460

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(963, 438) = 140598

GCD(963, 438) = ( 963 x 438 ) / 140598

= 963 / 438

= 963

Step2:

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

= 3 / 21

= 3

Step3:

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

= 3 / 460

= 3

So, Greatest Common Divisor of 963, 438, 21, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 662, 53, 817
• GCD of 405, 639, 77, 621
• GCD of 680, 188, 45, 201
• GCD of 923, 610, 48, 226
• GCD of 841, 760, 24, 660

Given numbers are 963, 438, 21, 460
The greatest common divisor of numbers 963, 438, 21, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 963, 438, 21, 460 is 1.

1. What is the GCD of 963, 438, 21, 460?

GCD of given numbers 963, 438, 21, 460 is 1

2. How to calculate the greatest common divisor of 963, 438, 21, 460?

We can find the highest common divisor of 963, 438, 21, 460 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 963, 438, 21, 460 i.e 1.

3. How can I use the GCD of 963, 438, 21, 460Calculator?

Out the numbers 963, 438, 21, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.