GCD of 252, 221, 285, 360 Calculator

Given Input numbers are 252, 221, 285, 360

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 285 :

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

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (252, 221, 285, 360) = 1.

Given numbers are 252, 221, 285, 360

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 221 are 13 x 17

Prime factors of 285 are 3 x 5 x 19

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 252, 221, 285, 360

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

Apply this formula for all numbers.

Step1:

LCM(252, 221) = 55692

GCD(252, 221) = ( 252 x 221 ) / 55692

= 252 / 221

= 252

Step2:

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

= 1 / 285

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 252, 221, 285, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 960, 514, 804
• GCD of 138, 310, 249, 782
• GCD of 564, 416, 108, 777
• GCD of 444, 909, 178, 341
• GCD of 466, 741, 506, 184

Given numbers are 252, 221, 285, 360
The greatest common divisor of numbers 252, 221, 285, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 221, 285, 360 is 1.

1. What is the GCD of 252, 221, 285, 360?

GCD of given numbers 252, 221, 285, 360 is 1

2. How to calculate the greatest common divisor of 252, 221, 285, 360?

We can find the highest common divisor of 252, 221, 285, 360 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 252, 221, 285, 360 i.e 1.

3. How can I use the GCD of 252, 221, 285, 360Calculator?

Out the numbers 252, 221, 285, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.