GCD of 567, 135, 537, 558 Calculator

Given Input numbers are 567, 135, 537, 558

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (567, 135, 537, 558) = 3.

Given numbers are 567, 135, 537, 558

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 537 are 3 x 179

Prime factors of 558 are 2 x 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 567, 135, 537, 558 is 3.

Given numbers are 567, 135, 537, 558

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

Apply this formula for all numbers.

Step1:

LCM(567, 135) = 2835

GCD(567, 135) = ( 567 x 135 ) / 2835

= 567 / 135

= 567

Step2:

LCM(27, 537) = 4833

GCD(27, 537) = ( 27 x 537 ) / 4833

= 27 / 537

= 27

Step3:

LCM(3, 558) = 558

GCD(3, 558) = ( 3 x 558 ) / 558

= 3 / 558

= 3

So, Greatest Common Divisor of 567, 135, 537, 558 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 421, 544, 753
• GCD of 253, 338, 244, 654
• GCD of 458, 612, 939, 358
• GCD of 637, 734, 827, 839
• GCD of 241, 701, 480, 471

Given numbers are 567, 135, 537, 558
The greatest common divisor of numbers 567, 135, 537, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 135, 537, 558 is 3.

1. What is the GCD of 567, 135, 537, 558?

GCD of given numbers 567, 135, 537, 558 is 3

2. How to calculate the greatest common divisor of 567, 135, 537, 558?

We can find the highest common divisor of 567, 135, 537, 558 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 567, 135, 537, 558 i.e 3.

3. How can I use the GCD of 567, 135, 537, 558Calculator?

Out the numbers 567, 135, 537, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.