GCD of 450, 662, 252, 272 Calculator

Given Input numbers are 450, 662, 252, 272

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 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

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 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (450, 662, 252, 272) = 2.

Given numbers are 450, 662, 252, 272

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 662 are 2 x 331

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

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 450, 662, 252, 272 is 2.

Given numbers are 450, 662, 252, 272

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

Apply this formula for all numbers.

Step1:

LCM(450, 662) = 148950

GCD(450, 662) = ( 450 x 662 ) / 148950

= 450 / 662

= 450

Step2:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 450, 662, 252, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 643, 395, 514
• GCD of 300, 861, 636, 691
• GCD of 913, 872, 212, 259
• GCD of 381, 598, 932, 988
• GCD of 543, 789, 147, 409

Given numbers are 450, 662, 252, 272
The greatest common divisor of numbers 450, 662, 252, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 662, 252, 272 is 2.

1. What is the GCD of 450, 662, 252, 272?

GCD of given numbers 450, 662, 252, 272 is 2

2. How to calculate the greatest common divisor of 450, 662, 252, 272?

We can find the highest common divisor of 450, 662, 252, 272 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, 662, 252, 272 i.e 2.

3. How can I use the GCD of 450, 662, 252, 272Calculator?

Out the numbers 450, 662, 252, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.