GCD of 588, 759, 486, 252 Calculator

Given Input numbers are 588, 759, 486, 252

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

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 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (588, 759, 486, 252) = 3.

Given numbers are 588, 759, 486, 252

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 759 are 3 x 11 x 23

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

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 588, 759, 486, 252 is 3.

Given numbers are 588, 759, 486, 252

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

Apply this formula for all numbers.

Step1:

LCM(588, 759) = 148764

GCD(588, 759) = ( 588 x 759 ) / 148764

= 588 / 759

= 588

Step2:

LCM(3, 486) = 486

GCD(3, 486) = ( 3 x 486 ) / 486

= 3 / 486

= 3

Step3:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3

So, Greatest Common Divisor of 588, 759, 486, 252 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 303, 236, 691, 476
• GCD of 678, 696, 167, 273
• GCD of 999, 611, 782, 418
• GCD of 959, 153, 486, 510
• GCD of 775, 223, 260, 860

Given numbers are 588, 759, 486, 252
The greatest common divisor of numbers 588, 759, 486, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 759, 486, 252 is 3.

1. What is the GCD of 588, 759, 486, 252?

GCD of given numbers 588, 759, 486, 252 is 3

2. How to calculate the greatest common divisor of 588, 759, 486, 252?

We can find the highest common divisor of 588, 759, 486, 252 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 588, 759, 486, 252 i.e 3.

3. How can I use the GCD of 588, 759, 486, 252Calculator?

Out the numbers 588, 759, 486, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.