GCD of 612, 156, 558, 900 Calculator

Given Input numbers are 612, 156, 558, 900

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (612, 156, 558, 900) = 6.

Given numbers are 612, 156, 558, 900

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 156 are 2 x 2 x 3 x 13

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

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 612, 156, 558, 900 is 6.

Given numbers are 612, 156, 558, 900

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

Apply this formula for all numbers.

Step1:

LCM(612, 156) = 7956

GCD(612, 156) = ( 612 x 156 ) / 7956

= 612 / 156

= 612

Step2:

LCM(12, 558) = 1116

GCD(12, 558) = ( 12 x 558 ) / 1116

= 12 / 558

= 12

Step3:

LCM(6, 900) = 900

GCD(6, 900) = ( 6 x 900 ) / 900

= 6 / 900

= 6

So, Greatest Common Divisor of 612, 156, 558, 900 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 644, 472, 228
• GCD of 188, 219, 912, 176
• GCD of 623, 384, 358, 566
• GCD of 665, 172, 267, 514
• GCD of 522, 376, 540, 890

Given numbers are 612, 156, 558, 900
The greatest common divisor of numbers 612, 156, 558, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 156, 558, 900 is 6.

1. What is the GCD of 612, 156, 558, 900?

GCD of given numbers 612, 156, 558, 900 is 6

2. How to calculate the greatest common divisor of 612, 156, 558, 900?

We can find the highest common divisor of 612, 156, 558, 900 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 612, 156, 558, 900 i.e 6.

3. How can I use the GCD of 612, 156, 558, 900Calculator?

Out the numbers 612, 156, 558, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.