GCD of 267, 201, 591, 564 Calculator

Given Input numbers are 267, 201, 591, 564

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

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

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 (267, 201, 591, 564) = 3.

Given numbers are 267, 201, 591, 564

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 201 are 3 x 67

Prime factors of 591 are 3 x 197

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

The highest common occurrence is 3¹

Therefore, GCD of 267, 201, 591, 564 is 3.

Given numbers are 267, 201, 591, 564

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

Apply this formula for all numbers.

Step1:

LCM(267, 201) = 17889

GCD(267, 201) = ( 267 x 201 ) / 17889

= 267 / 201

= 267

Step2:

LCM(3, 591) = 591

GCD(3, 591) = ( 3 x 591 ) / 591

= 3 / 591

= 3

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 267, 201, 591, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 389, 529, 827
• GCD of 697, 889, 877, 901
• GCD of 600, 479, 634, 214
• GCD of 508, 549, 855, 306
• GCD of 156, 132, 263, 508

Given numbers are 267, 201, 591, 564
The greatest common divisor of numbers 267, 201, 591, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 201, 591, 564 is 3.

1. What is the GCD of 267, 201, 591, 564?

GCD of given numbers 267, 201, 591, 564 is 3

2. How to calculate the greatest common divisor of 267, 201, 591, 564?

We can find the highest common divisor of 267, 201, 591, 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 267, 201, 591, 564 i.e 3.

3. How can I use the GCD of 267, 201, 591, 564Calculator?

Out the numbers 267, 201, 591, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.