GCD of 567, 450, 126 Calculator

Given Input numbers are 567, 450, 126

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (567, 450, 126) = 9.

Given numbers are 567, 450, 126

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 3²

Therefore, GCD of 567, 450, 126 is 9.

Given numbers are 567, 450, 126

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

Apply this formula for all numbers.

Step1:

LCM(567, 450) = 28350

GCD(567, 450) = ( 567 x 450 ) / 28350

= 567 / 450

= 567

Step2:

LCM(9, 126) = 126

GCD(9, 126) = ( 9 x 126 ) / 126

= 9 / 126

= 9

So, Greatest Common Divisor of 567, 450, 126 is 9

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 676, 387
• GCD of 920, 426, 701
• GCD of 524, 543, 379
• GCD of 811, 111, 332
• GCD of 547, 266, 447

Given numbers are 567, 450, 126
The greatest common divisor of numbers 567, 450, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 450, 126 is 9.

1. What is the GCD of 567, 450, 126?

GCD of given numbers 567, 450, 126 is 9

2. How to calculate the greatest common divisor of 567, 450, 126?

We can find the highest common divisor of 567, 450, 126 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 567, 450, 126 i.e 9.

3. How can I use the GCD of 567, 450, 126Calculator?

Out the numbers 567, 450, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.