GCD of 588, 984, 564 Calculator

Given Input numbers are 588, 984, 564

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 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (588, 984, 564) = 12.

Given numbers are 588, 984, 564

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 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2² x 3¹

Therefore, GCD of 588, 984, 564 is 12.

Given numbers are 588, 984, 564

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

Apply this formula for all numbers.

Step1:

LCM(588, 984) = 48216

GCD(588, 984) = ( 588 x 984 ) / 48216

= 588 / 984

= 588

Step2:

LCM(12, 564) = 564

GCD(12, 564) = ( 12 x 564 ) / 564

= 12 / 564

= 12

So, Greatest Common Divisor of 588, 984, 564 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 705, 396
• GCD of 724, 420, 895
• GCD of 129, 355, 802
• GCD of 909, 729, 534
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Given numbers are 588, 984, 564
The greatest common divisor of numbers 588, 984, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 984, 564 is 12.

1. What is the GCD of 588, 984, 564?

GCD of given numbers 588, 984, 564 is 12

2. How to calculate the greatest common divisor of 588, 984, 564?

We can find the highest common divisor of 588, 984, 564 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, 984, 564 i.e 12.

3. How can I use the GCD of 588, 984, 564Calculator?

Out the numbers 588, 984, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.