GCD of 210, 438, 252 Calculator

Given Input numbers are 210, 438, 252

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

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

Divisors of 438 :

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

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

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

GCD of numbers is the greatest common divisor

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

Given numbers are 210, 438, 252

The list of prime factors of all numbers are

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

Prime factors of 438 are 2 x 3 x 73

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

The highest common occurrence is 2¹ x 3¹

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

Given numbers are 210, 438, 252

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

Apply this formula for all numbers.

Step1:

LCM(210, 438) = 15330

GCD(210, 438) = ( 210 x 438 ) / 15330

= 210 / 438

= 210

Step2:

LCM(6, 252) = 252

GCD(6, 252) = ( 6 x 252 ) / 252

= 6 / 252

= 6

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

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 201, 715
• GCD of 656, 117, 616
• GCD of 764, 155, 939
• GCD of 102, 116, 753
• GCD of 993, 479, 803

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

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

GCD of given numbers 210, 438, 252 is 6

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

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

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

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