GCD of 450, 402, 123, 225 Calculator

Given Input numbers are 450, 402, 123, 225

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 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (450, 402, 123, 225) = 3.

Given numbers are 450, 402, 123, 225

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 402 are 2 x 3 x 67

Prime factors of 123 are 3 x 41

Prime factors of 225 are 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 450, 402, 123, 225 is 3.

Given numbers are 450, 402, 123, 225

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

Apply this formula for all numbers.

Step1:

LCM(450, 402) = 30150

GCD(450, 402) = ( 450 x 402 ) / 30150

= 450 / 402

= 450

Step2:

LCM(6, 123) = 246

GCD(6, 123) = ( 6 x 123 ) / 246

= 6 / 123

= 6

Step3:

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

= 3 / 225

= 3

So, Greatest Common Divisor of 450, 402, 123, 225 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 412, 995, 765
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• GCD of 186, 663, 590, 639

Given numbers are 450, 402, 123, 225
The greatest common divisor of numbers 450, 402, 123, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 402, 123, 225 is 3.

1. What is the GCD of 450, 402, 123, 225?

GCD of given numbers 450, 402, 123, 225 is 3

2. How to calculate the greatest common divisor of 450, 402, 123, 225?

We can find the highest common divisor of 450, 402, 123, 225 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, 402, 123, 225 i.e 3.

3. How can I use the GCD of 450, 402, 123, 225Calculator?

Out the numbers 450, 402, 123, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.