GCD of 586, 690, 406, 964 Calculator

Given Input numbers are 586, 690, 406, 964

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

Divisors of 586 :

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

1, 2, 293, 586

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (586, 690, 406, 964) = 2.

Given numbers are 586, 690, 406, 964

The list of prime factors of all numbers are

Prime factors of 586 are 2 x 293

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 406 are 2 x 7 x 29

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 586, 690, 406, 964 is 2.

Given numbers are 586, 690, 406, 964

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

Apply this formula for all numbers.

Step1:

LCM(586, 690) = 202170

GCD(586, 690) = ( 586 x 690 ) / 202170

= 586 / 690

= 586

Step2:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2

Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

So, Greatest Common Divisor of 586, 690, 406, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 813, 384, 677
• GCD of 620, 101, 619, 525
• GCD of 648, 981, 499, 297
• GCD of 657, 907, 316, 849
• GCD of 698, 422, 750, 192

Given numbers are 586, 690, 406, 964
The greatest common divisor of numbers 586, 690, 406, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 586, 690, 406, 964 is 2.

1. What is the GCD of 586, 690, 406, 964?

GCD of given numbers 586, 690, 406, 964 is 2

2. How to calculate the greatest common divisor of 586, 690, 406, 964?

We can find the highest common divisor of 586, 690, 406, 964 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 586, 690, 406, 964 i.e 2.

3. How can I use the GCD of 586, 690, 406, 964Calculator?

Out the numbers 586, 690, 406, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.