GCD of 731, 666, 586, 990 Calculator

Given Input numbers are 731, 666, 586, 990

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

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

GCD of numbers is the greatest common divisor

So, the GCD (731, 666, 586, 990) = 1.

Given numbers are 731, 666, 586, 990

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 586 are 2 x 293

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

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

Given numbers are 731, 666, 586, 990

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

Apply this formula for all numbers.

Step1:

LCM(731, 666) = 486846

GCD(731, 666) = ( 731 x 666 ) / 486846

= 731 / 666

= 731

Step2:

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

= 1 / 586

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 731, 666, 586, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 185, 257, 124
• GCD of 695, 345, 708, 757
• GCD of 987, 571, 812, 924
• GCD of 123, 889, 212, 275
• GCD of 577, 985, 445, 473

Given numbers are 731, 666, 586, 990
The greatest common divisor of numbers 731, 666, 586, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 666, 586, 990 is 1.

1. What is the GCD of 731, 666, 586, 990?

GCD of given numbers 731, 666, 586, 990 is 1

2. How to calculate the greatest common divisor of 731, 666, 586, 990?

We can find the highest common divisor of 731, 666, 586, 990 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 731, 666, 586, 990 i.e 1.

3. How can I use the GCD of 731, 666, 586, 990Calculator?

Out the numbers 731, 666, 586, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.