GCD of 418, 589, 660, 961 Calculator

Given Input numbers are 418, 589, 660, 961

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

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 (418, 589, 660, 961) = 1.

Given numbers are 418, 589, 660, 961

The list of prime factors of all numbers are

Prime factors of 418 are 2 x 11 x 19

Prime factors of 589 are 19 x 31

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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 418, 589, 660, 961

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

Apply this formula for all numbers.

Step1:

LCM(418, 589) = 12958

GCD(418, 589) = ( 418 x 589 ) / 12958

= 418 / 589

= 418

Step2:

LCM(19, 660) = 12540

GCD(19, 660) = ( 19 x 660 ) / 12540

= 19 / 660

= 19

Step3:

LCM(1, 961) = 961

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

= 1 / 961

= 1

So, Greatest Common Divisor of 418, 589, 660, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 622, 961, 407
• GCD of 938, 978, 218, 754
• GCD of 473, 808, 830, 660
• GCD of 902, 908, 917, 234
• GCD of 889, 169, 789, 878

Given numbers are 418, 589, 660, 961
The greatest common divisor of numbers 418, 589, 660, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 418, 589, 660, 961 is 1.

1. What is the GCD of 418, 589, 660, 961?

GCD of given numbers 418, 589, 660, 961 is 1

2. How to calculate the greatest common divisor of 418, 589, 660, 961?

We can find the highest common divisor of 418, 589, 660, 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 418, 589, 660, 961 i.e 1.

3. How can I use the GCD of 418, 589, 660, 961Calculator?

Out the numbers 418, 589, 660, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.