GCD of 468, 594, 744, 147 Calculator

Given Input numbers are 468, 594, 744, 147

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (468, 594, 744, 147) = 3.

Given numbers are 468, 594, 744, 147

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 468, 594, 744, 147 is 3.

Given numbers are 468, 594, 744, 147

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

Apply this formula for all numbers.

Step1:

LCM(468, 594) = 15444

GCD(468, 594) = ( 468 x 594 ) / 15444

= 468 / 594

= 468

Step2:

LCM(18, 744) = 2232

GCD(18, 744) = ( 18 x 744 ) / 2232

= 18 / 744

= 18

Step3:

LCM(6, 147) = 294

GCD(6, 147) = ( 6 x 147 ) / 294

= 6 / 147

= 6

So, Greatest Common Divisor of 468, 594, 744, 147 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 942, 303, 787
• GCD of 214, 358, 470, 977
• GCD of 739, 315, 511, 889
• GCD of 112, 747, 643, 124
• GCD of 903, 132, 916, 197

Given numbers are 468, 594, 744, 147
The greatest common divisor of numbers 468, 594, 744, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 594, 744, 147 is 3.

1. What is the GCD of 468, 594, 744, 147?

GCD of given numbers 468, 594, 744, 147 is 3

2. How to calculate the greatest common divisor of 468, 594, 744, 147?

We can find the highest common divisor of 468, 594, 744, 147 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 468, 594, 744, 147 i.e 3.

3. How can I use the GCD of 468, 594, 744, 147Calculator?

Out the numbers 468, 594, 744, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.