GCD of 564, 664, 82 Calculator

Given Input numbers are 564, 664, 82

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

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

GCD of numbers is the greatest common divisor

So, the GCD (564, 664, 82) = 2.

Given numbers are 564, 664, 82

The list of prime factors of all numbers are

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

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 82 are 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 564, 664, 82 is 2.

Given numbers are 564, 664, 82

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

Apply this formula for all numbers.

Step1:

LCM(564, 664) = 93624

GCD(564, 664) = ( 564 x 664 ) / 93624

= 564 / 664

= 564

Step2:

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

= 4 / 82

= 4

So, Greatest Common Divisor of 564, 664, 82 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 351, 24
• GCD of 276, 500, 48
• GCD of 194, 569, 52
• GCD of 714, 736, 36
• GCD of 964, 542, 30

Given numbers are 564, 664, 82
The greatest common divisor of numbers 564, 664, 82 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 664, 82 is 2.

1. What is the GCD of 564, 664, 82?

GCD of given numbers 564, 664, 82 is 2

2. How to calculate the greatest common divisor of 564, 664, 82?

We can find the highest common divisor of 564, 664, 82 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 564, 664, 82 i.e 2.

3. How can I use the GCD of 564, 664, 82Calculator?

Out the numbers 564, 664, 82 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.