GCD of 564, 660, 387, 471 Calculator

Given Input numbers are 564, 660, 387, 471

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (564, 660, 387, 471) = 3.

Given numbers are 564, 660, 387, 471

The list of prime factors of all numbers are

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 387 are 3 x 3 x 43

Prime factors of 471 are 3 x 157

The highest common occurrence is 3¹

Therefore, GCD of 564, 660, 387, 471 is 3.

Given numbers are 564, 660, 387, 471

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

Apply this formula for all numbers.

Step1:

LCM(564, 660) = 31020

GCD(564, 660) = ( 564 x 660 ) / 31020

= 564 / 660

= 564

Step2:

LCM(12, 387) = 1548

GCD(12, 387) = ( 12 x 387 ) / 1548

= 12 / 387

= 12

Step3:

LCM(3, 471) = 471

GCD(3, 471) = ( 3 x 471 ) / 471

= 3 / 471

= 3

So, Greatest Common Divisor of 564, 660, 387, 471 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 269, 317, 764
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Given numbers are 564, 660, 387, 471
The greatest common divisor of numbers 564, 660, 387, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 660, 387, 471 is 3.

1. What is the GCD of 564, 660, 387, 471?

GCD of given numbers 564, 660, 387, 471 is 3

2. How to calculate the greatest common divisor of 564, 660, 387, 471?

We can find the highest common divisor of 564, 660, 387, 471 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, 660, 387, 471 i.e 3.

3. How can I use the GCD of 564, 660, 387, 471Calculator?

Out the numbers 564, 660, 387, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.