GCD of 150, 426, 591, 234 Calculator

Given Input numbers are 150, 426, 591, 234

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (150, 426, 591, 234) = 3.

Given numbers are 150, 426, 591, 234

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 426 are 2 x 3 x 71

Prime factors of 591 are 3 x 197

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 150, 426, 591, 234 is 3.

Given numbers are 150, 426, 591, 234

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

Apply this formula for all numbers.

Step1:

LCM(150, 426) = 10650

GCD(150, 426) = ( 150 x 426 ) / 10650

= 150 / 426

= 150

Step2:

LCM(6, 591) = 1182

GCD(6, 591) = ( 6 x 591 ) / 1182

= 6 / 591

= 6

Step3:

LCM(3, 234) = 234

GCD(3, 234) = ( 3 x 234 ) / 234

= 3 / 234

= 3

So, Greatest Common Divisor of 150, 426, 591, 234 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 293, 679, 428
• GCD of 476, 348, 269, 495
• GCD of 625, 564, 360, 415
• GCD of 490, 324, 110, 701
• GCD of 444, 284, 550, 578

Given numbers are 150, 426, 591, 234
The greatest common divisor of numbers 150, 426, 591, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 426, 591, 234 is 3.

1. What is the GCD of 150, 426, 591, 234?

GCD of given numbers 150, 426, 591, 234 is 3

2. How to calculate the greatest common divisor of 150, 426, 591, 234?

We can find the highest common divisor of 150, 426, 591, 234 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 150, 426, 591, 234 i.e 3.

3. How can I use the GCD of 150, 426, 591, 234Calculator?

Out the numbers 150, 426, 591, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.