GCD of 483, 552, 420, 450 Calculator

Given Input numbers are 483, 552, 420, 450

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

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

GCD of numbers is the greatest common divisor

So, the GCD (483, 552, 420, 450) = 3.

Given numbers are 483, 552, 420, 450

The list of prime factors of all numbers are

Prime factors of 483 are 3 x 7 x 23

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 483, 552, 420, 450 is 3.

Given numbers are 483, 552, 420, 450

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

Apply this formula for all numbers.

Step1:

LCM(483, 552) = 3864

GCD(483, 552) = ( 483 x 552 ) / 3864

= 483 / 552

= 483

Step2:

LCM(69, 420) = 9660

GCD(69, 420) = ( 69 x 420 ) / 9660

= 69 / 420

= 69

Step3:

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

= 3 / 450

= 3

So, Greatest Common Divisor of 483, 552, 420, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 538, 483, 653
• GCD of 449, 558, 100, 670
• GCD of 981, 826, 173, 641
• GCD of 816, 149, 249, 614
• GCD of 690, 429, 965, 354

Given numbers are 483, 552, 420, 450
The greatest common divisor of numbers 483, 552, 420, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 483, 552, 420, 450 is 3.

1. What is the GCD of 483, 552, 420, 450?

GCD of given numbers 483, 552, 420, 450 is 3

2. How to calculate the greatest common divisor of 483, 552, 420, 450?

We can find the highest common divisor of 483, 552, 420, 450 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 483, 552, 420, 450 i.e 3.

3. How can I use the GCD of 483, 552, 420, 450Calculator?

Out the numbers 483, 552, 420, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.