GCD of 450, 408, 411, 960 Calculator

Given Input numbers are 450, 408, 411, 960

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 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 411 :

The positive integer divisors of 411 that completely divides 411 are.

1, 3, 137, 411

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (450, 408, 411, 960) = 3.

Given numbers are 450, 408, 411, 960

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 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 411 are 3 x 137

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 450, 408, 411, 960 is 3.

Given numbers are 450, 408, 411, 960

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

Apply this formula for all numbers.

Step1:

LCM(450, 408) = 30600

GCD(450, 408) = ( 450 x 408 ) / 30600

= 450 / 408

= 450

Step2:

LCM(6, 411) = 822

GCD(6, 411) = ( 6 x 411 ) / 822

= 6 / 411

= 6

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 450, 408, 411, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 816, 172, 125
• GCD of 193, 921, 494, 956
• GCD of 566, 991, 678, 348
• GCD of 869, 903, 241, 562
• GCD of 185, 877, 209, 240

Given numbers are 450, 408, 411, 960
The greatest common divisor of numbers 450, 408, 411, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 408, 411, 960 is 3.

1. What is the GCD of 450, 408, 411, 960?

GCD of given numbers 450, 408, 411, 960 is 3

2. How to calculate the greatest common divisor of 450, 408, 411, 960?

We can find the highest common divisor of 450, 408, 411, 960 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, 408, 411, 960 i.e 3.

3. How can I use the GCD of 450, 408, 411, 960Calculator?

Out the numbers 450, 408, 411, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.