GCD of 990, 493, 966, 961 Calculator

Given Input numbers are 990, 493, 966, 961

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (990, 493, 966, 961) = 1.

Given numbers are 990, 493, 966, 961

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 493 are 17 x 29

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 961 are 31 x 31

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

Given numbers are 990, 493, 966, 961

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

Apply this formula for all numbers.

Step1:

LCM(990, 493) = 488070

GCD(990, 493) = ( 990 x 493 ) / 488070

= 990 / 493

= 990

Step2:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 990, 493, 966, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 497, 203, 922
• GCD of 549, 329, 583, 965
• GCD of 281, 113, 826, 743
• GCD of 327, 485, 491, 267
• GCD of 276, 793, 792, 885

Given numbers are 990, 493, 966, 961
The greatest common divisor of numbers 990, 493, 966, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 493, 966, 961 is 1.

1. What is the GCD of 990, 493, 966, 961?

GCD of given numbers 990, 493, 966, 961 is 1

2. How to calculate the greatest common divisor of 990, 493, 966, 961?

We can find the highest common divisor of 990, 493, 966, 961 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 990, 493, 966, 961 i.e 1.

3. How can I use the GCD of 990, 493, 966, 961Calculator?

Out the numbers 990, 493, 966, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.