GCD of 252, 438, 900, 210 Calculator

Given Input numbers are 252, 438, 900, 210

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 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (252, 438, 900, 210) = 6.

Given numbers are 252, 438, 900, 210

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 438 are 2 x 3 x 73

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 210 are 2 x 3 x 5 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 252, 438, 900, 210 is 6.

Given numbers are 252, 438, 900, 210

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

Apply this formula for all numbers.

Step1:

LCM(252, 438) = 18396

GCD(252, 438) = ( 252 x 438 ) / 18396

= 252 / 438

= 252

Step2:

LCM(6, 900) = 900

GCD(6, 900) = ( 6 x 900 ) / 900

= 6 / 900

= 6

Step3:

LCM(6, 210) = 210

GCD(6, 210) = ( 6 x 210 ) / 210

= 6 / 210

= 6

So, Greatest Common Divisor of 252, 438, 900, 210 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 520, 863, 144
• GCD of 905, 362, 494, 706
• GCD of 320, 266, 351, 749
• GCD of 314, 152, 343, 186
• GCD of 567, 196, 536, 204

Given numbers are 252, 438, 900, 210
The greatest common divisor of numbers 252, 438, 900, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 438, 900, 210 is 6.

1. What is the GCD of 252, 438, 900, 210?

GCD of given numbers 252, 438, 900, 210 is 6

2. How to calculate the greatest common divisor of 252, 438, 900, 210?

We can find the highest common divisor of 252, 438, 900, 210 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, 438, 900, 210 i.e 6.

3. How can I use the GCD of 252, 438, 900, 210Calculator?

Out the numbers 252, 438, 900, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.