GCD of 552, 150, 270, 606 Calculator

Given Input numbers are 552, 150, 270, 606

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

GCD of numbers is the greatest common divisor

So, the GCD (552, 150, 270, 606) = 6.

Given numbers are 552, 150, 270, 606

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 606 are 2 x 3 x 101

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 552, 150, 270, 606 is 6.

Given numbers are 552, 150, 270, 606

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

Apply this formula for all numbers.

Step1:

LCM(552, 150) = 13800

GCD(552, 150) = ( 552 x 150 ) / 13800

= 552 / 150

= 552

Step2:

LCM(6, 270) = 270

GCD(6, 270) = ( 6 x 270 ) / 270

= 6 / 270

= 6

Step3:

LCM(6, 606) = 606

GCD(6, 606) = ( 6 x 606 ) / 606

= 6 / 606

= 6

So, Greatest Common Divisor of 552, 150, 270, 606 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 669, 774, 930, 912
• GCD of 871, 272, 783, 586
• GCD of 592, 572, 724, 856
• GCD of 729, 976, 705, 425
• GCD of 349, 624, 108, 816

Given numbers are 552, 150, 270, 606
The greatest common divisor of numbers 552, 150, 270, 606 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 150, 270, 606 is 6.

1. What is the GCD of 552, 150, 270, 606?

GCD of given numbers 552, 150, 270, 606 is 6

2. How to calculate the greatest common divisor of 552, 150, 270, 606?

We can find the highest common divisor of 552, 150, 270, 606 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 552, 150, 270, 606 i.e 6.

3. How can I use the GCD of 552, 150, 270, 606Calculator?

Out the numbers 552, 150, 270, 606 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.