GCD of 162, 747, 870, 225 Calculator

Given Input numbers are 162, 747, 870, 225

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (162, 747, 870, 225) = 3.

Given numbers are 162, 747, 870, 225

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 747 are 3 x 3 x 83

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 162, 747, 870, 225 is 3.

Given numbers are 162, 747, 870, 225

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

Apply this formula for all numbers.

Step1:

LCM(162, 747) = 13446

GCD(162, 747) = ( 162 x 747 ) / 13446

= 162 / 747

= 162

Step2:

LCM(9, 870) = 2610

GCD(9, 870) = ( 9 x 870 ) / 2610

= 9 / 870

= 9

Step3:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

So, Greatest Common Divisor of 162, 747, 870, 225 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 832, 374, 692, 746
• GCD of 115, 106, 409, 229
• GCD of 733, 418, 849, 467
• GCD of 122, 743, 625, 279
• GCD of 583, 734, 556, 846

Given numbers are 162, 747, 870, 225
The greatest common divisor of numbers 162, 747, 870, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 747, 870, 225 is 3.

1. What is the GCD of 162, 747, 870, 225?

GCD of given numbers 162, 747, 870, 225 is 3

2. How to calculate the greatest common divisor of 162, 747, 870, 225?

We can find the highest common divisor of 162, 747, 870, 225 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 162, 747, 870, 225 i.e 3.

3. How can I use the GCD of 162, 747, 870, 225Calculator?

Out the numbers 162, 747, 870, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.