GCD of 552, 945, 285, 108 Calculator

Given Input numbers are 552, 945, 285, 108

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (552, 945, 285, 108) = 3.

Given numbers are 552, 945, 285, 108

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 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 285 are 3 x 5 x 19

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 552, 945, 285, 108 is 3.

Given numbers are 552, 945, 285, 108

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

Apply this formula for all numbers.

Step1:

LCM(552, 945) = 173880

GCD(552, 945) = ( 552 x 945 ) / 173880

= 552 / 945

= 552

Step2:

LCM(3, 285) = 285

GCD(3, 285) = ( 3 x 285 ) / 285

= 3 / 285

= 3

Step3:

LCM(3, 108) = 108

GCD(3, 108) = ( 3 x 108 ) / 108

= 3 / 108

= 3

So, Greatest Common Divisor of 552, 945, 285, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 272, 376, 328
• GCD of 712, 371, 594, 934
• GCD of 891, 112, 107, 238
• GCD of 680, 111, 820, 727
• GCD of 695, 598, 480, 883

Given numbers are 552, 945, 285, 108
The greatest common divisor of numbers 552, 945, 285, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 945, 285, 108 is 3.

1. What is the GCD of 552, 945, 285, 108?

GCD of given numbers 552, 945, 285, 108 is 3

2. How to calculate the greatest common divisor of 552, 945, 285, 108?

We can find the highest common divisor of 552, 945, 285, 108 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, 945, 285, 108 i.e 3.

3. How can I use the GCD of 552, 945, 285, 108Calculator?

Out the numbers 552, 945, 285, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.