GCD of 270, 585, 222, 987 Calculator

Given Input numbers are 270, 585, 222, 987

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

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (270, 585, 222, 987) = 3.

Given numbers are 270, 585, 222, 987

The list of prime factors of all numbers are

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

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 222 are 2 x 3 x 37

Prime factors of 987 are 3 x 7 x 47

The highest common occurrence is 3¹

Therefore, GCD of 270, 585, 222, 987 is 3.

Given numbers are 270, 585, 222, 987

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

Apply this formula for all numbers.

Step1:

LCM(270, 585) = 3510

GCD(270, 585) = ( 270 x 585 ) / 3510

= 270 / 585

= 270

Step2:

LCM(45, 222) = 3330

GCD(45, 222) = ( 45 x 222 ) / 3330

= 45 / 222

= 45

Step3:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

So, Greatest Common Divisor of 270, 585, 222, 987 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 485, 598, 196
• GCD of 867, 582, 470, 112
• GCD of 129, 389, 847, 874
• GCD of 236, 871, 263, 570
• GCD of 560, 341, 382, 182

Given numbers are 270, 585, 222, 987
The greatest common divisor of numbers 270, 585, 222, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 585, 222, 987 is 3.

1. What is the GCD of 270, 585, 222, 987?

GCD of given numbers 270, 585, 222, 987 is 3

2. How to calculate the greatest common divisor of 270, 585, 222, 987?

We can find the highest common divisor of 270, 585, 222, 987 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 270, 585, 222, 987 i.e 3.

3. How can I use the GCD of 270, 585, 222, 987Calculator?

Out the numbers 270, 585, 222, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.