GCD of 213, 450, 207, 438 Calculator

Given Input numbers are 213, 450, 207, 438

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 438 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (213, 450, 207, 438) = 3.

Given numbers are 213, 450, 207, 438

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 207 are 3 x 3 x 23

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 213, 450, 207, 438 is 3.

Given numbers are 213, 450, 207, 438

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

Apply this formula for all numbers.

Step1:

LCM(213, 450) = 31950

GCD(213, 450) = ( 213 x 450 ) / 31950

= 213 / 450

= 213

Step2:

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

= 3 / 207

= 3

Step3:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3

So, Greatest Common Divisor of 213, 450, 207, 438 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 300, 601, 426
• GCD of 800, 990, 884, 802
• GCD of 163, 410, 756, 301
• GCD of 997, 988, 344, 871
• GCD of 850, 278, 374, 310

Given numbers are 213, 450, 207, 438
The greatest common divisor of numbers 213, 450, 207, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 450, 207, 438 is 3.

1. What is the GCD of 213, 450, 207, 438?

GCD of given numbers 213, 450, 207, 438 is 3

2. How to calculate the greatest common divisor of 213, 450, 207, 438?

We can find the highest common divisor of 213, 450, 207, 438 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 213, 450, 207, 438 i.e 3.

3. How can I use the GCD of 213, 450, 207, 438Calculator?

Out the numbers 213, 450, 207, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.