GCD of 552, 189, 861, 945 Calculator

Given Input numbers are 552, 189, 861, 945

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 189 :

The positive integer divisors of 189 that completely divides 189 are.

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

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

GCD of numbers is the greatest common divisor

So, the GCD (552, 189, 861, 945) = 3.

Given numbers are 552, 189, 861, 945

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 189 are 3 x 3 x 3 x 7

Prime factors of 861 are 3 x 7 x 41

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 552, 189, 861, 945 is 3.

Given numbers are 552, 189, 861, 945

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

Apply this formula for all numbers.

Step1:

LCM(552, 189) = 34776

GCD(552, 189) = ( 552 x 189 ) / 34776

= 552 / 189

= 552

Step2:

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

= 3 / 861

= 3

Step3:

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

= 3 / 945

= 3

So, Greatest Common Divisor of 552, 189, 861, 945 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 434, 823, 501
• GCD of 241, 108, 757, 500
• GCD of 298, 237, 461, 615
• GCD of 904, 447, 985, 573
• GCD of 434, 703, 640, 617

Given numbers are 552, 189, 861, 945
The greatest common divisor of numbers 552, 189, 861, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 189, 861, 945 is 3.

1. What is the GCD of 552, 189, 861, 945?

GCD of given numbers 552, 189, 861, 945 is 3

2. How to calculate the greatest common divisor of 552, 189, 861, 945?

We can find the highest common divisor of 552, 189, 861, 945 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, 189, 861, 945 i.e 3.

3. How can I use the GCD of 552, 189, 861, 945Calculator?

Out the numbers 552, 189, 861, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.