GCD of 450, 360, 297, 213 Calculator

Given Input numbers are 450, 360, 297, 213

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

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 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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 213 :

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

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (450, 360, 297, 213) = 3.

Given numbers are 450, 360, 297, 213

The list of prime factors of all numbers are

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

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

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 450, 360, 297, 213 is 3.

Given numbers are 450, 360, 297, 213

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

Apply this formula for all numbers.

Step1:

LCM(450, 360) = 1800

GCD(450, 360) = ( 450 x 360 ) / 1800

= 450 / 360

= 450

Step2:

LCM(90, 297) = 2970

GCD(90, 297) = ( 90 x 297 ) / 2970

= 90 / 297

= 90

Step3:

LCM(9, 213) = 639

GCD(9, 213) = ( 9 x 213 ) / 639

= 9 / 213

= 9

So, Greatest Common Divisor of 450, 360, 297, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 782, 529, 776
• GCD of 588, 220, 645, 159
• GCD of 433, 935, 399, 458
• GCD of 747, 990, 998, 178
• GCD of 685, 977, 726, 791

Given numbers are 450, 360, 297, 213
The greatest common divisor of numbers 450, 360, 297, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 360, 297, 213 is 3.

1. What is the GCD of 450, 360, 297, 213?

GCD of given numbers 450, 360, 297, 213 is 3

2. How to calculate the greatest common divisor of 450, 360, 297, 213?

We can find the highest common divisor of 450, 360, 297, 213 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 450, 360, 297, 213 i.e 3.

3. How can I use the GCD of 450, 360, 297, 213Calculator?

Out the numbers 450, 360, 297, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.