GCD of 450, 486, 600, 477 Calculator

Given Input numbers are 450, 486, 600, 477

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 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

GCD of numbers is the greatest common divisor

So, the GCD (450, 486, 600, 477) = 3.

Given numbers are 450, 486, 600, 477

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 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 477 are 3 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 450, 486, 600, 477 is 3.

Given numbers are 450, 486, 600, 477

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

Apply this formula for all numbers.

Step1:

LCM(450, 486) = 12150

GCD(450, 486) = ( 450 x 486 ) / 12150

= 450 / 486

= 450

Step2:

LCM(18, 600) = 1800

GCD(18, 600) = ( 18 x 600 ) / 1800

= 18 / 600

= 18

Step3:

LCM(6, 477) = 954

GCD(6, 477) = ( 6 x 477 ) / 954

= 6 / 477

= 6

So, Greatest Common Divisor of 450, 486, 600, 477 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 856, 602, 743
• GCD of 785, 710, 325, 929
• GCD of 710, 366, 316, 178
• GCD of 628, 986, 631, 841
• GCD of 253, 752, 825, 525

Given numbers are 450, 486, 600, 477
The greatest common divisor of numbers 450, 486, 600, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 450, 486, 600, 477 is 3.

1. What is the GCD of 450, 486, 600, 477?

GCD of given numbers 450, 486, 600, 477 is 3

2. How to calculate the greatest common divisor of 450, 486, 600, 477?

We can find the highest common divisor of 450, 486, 600, 477 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, 486, 600, 477 i.e 3.

3. How can I use the GCD of 450, 486, 600, 477Calculator?

Out the numbers 450, 486, 600, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.