GCD of 621, 282, 138, 450 Calculator

Given Input numbers are 621, 282, 138, 450

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

Divisors of 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 (621, 282, 138, 450) = 3.

Given numbers are 621, 282, 138, 450

The list of prime factors of all numbers are

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 282 are 2 x 3 x 47

Prime factors of 138 are 2 x 3 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 621, 282, 138, 450 is 3.

Given numbers are 621, 282, 138, 450

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

Apply this formula for all numbers.

Step1:

LCM(621, 282) = 58374

GCD(621, 282) = ( 621 x 282 ) / 58374

= 621 / 282

= 621

Step2:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

Step3:

LCM(3, 450) = 450

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

= 3 / 450

= 3

So, Greatest Common Divisor of 621, 282, 138, 450 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 198, 139, 665
• GCD of 464, 110, 285, 614
• GCD of 535, 431, 544, 488
• GCD of 818, 422, 545, 311
• GCD of 540, 704, 271, 594

Given numbers are 621, 282, 138, 450
The greatest common divisor of numbers 621, 282, 138, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 621, 282, 138, 450 is 3.

1. What is the GCD of 621, 282, 138, 450?

GCD of given numbers 621, 282, 138, 450 is 3

2. How to calculate the greatest common divisor of 621, 282, 138, 450?

We can find the highest common divisor of 621, 282, 138, 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 621, 282, 138, 450 i.e 3.

3. How can I use the GCD of 621, 282, 138, 450Calculator?

Out the numbers 621, 282, 138, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.