GCD of 486, 364, 584, 690 Calculator

Given Input numbers are 486, 364, 584, 690

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

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

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

GCD of numbers is the greatest common divisor

So, the GCD (486, 364, 584, 690) = 2.

Given numbers are 486, 364, 584, 690

The list of prime factors of all numbers are

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 584 are 2 x 2 x 2 x 73

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

The highest common occurrence is 2¹

Therefore, GCD of 486, 364, 584, 690 is 2.

Given numbers are 486, 364, 584, 690

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

Apply this formula for all numbers.

Step1:

LCM(486, 364) = 88452

GCD(486, 364) = ( 486 x 364 ) / 88452

= 486 / 364

= 486

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 486, 364, 584, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 575, 195, 411
• GCD of 846, 736, 577, 685
• GCD of 449, 511, 490, 914
• GCD of 511, 351, 674, 371
• GCD of 390, 274, 959, 230

Given numbers are 486, 364, 584, 690
The greatest common divisor of numbers 486, 364, 584, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 364, 584, 690 is 2.

1. What is the GCD of 486, 364, 584, 690?

GCD of given numbers 486, 364, 584, 690 is 2

2. How to calculate the greatest common divisor of 486, 364, 584, 690?

We can find the highest common divisor of 486, 364, 584, 690 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 486, 364, 584, 690 i.e 2.

3. How can I use the GCD of 486, 364, 584, 690Calculator?

Out the numbers 486, 364, 584, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.