GCD of 252, 432, 147, 603 Calculator

Given Input numbers are 252, 432, 147, 603

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 147 :

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

1, 3, 7, 21, 49, 147

Divisors of 603 :

The positive integer divisors of 603 that completely divides 603 are.

1, 3, 9, 67, 201, 603

GCD of numbers is the greatest common divisor

So, the GCD (252, 432, 147, 603) = 3.

Given numbers are 252, 432, 147, 603

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 147 are 3 x 7 x 7

Prime factors of 603 are 3 x 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 252, 432, 147, 603 is 3.

Given numbers are 252, 432, 147, 603

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

Apply this formula for all numbers.

Step1:

LCM(252, 432) = 3024

GCD(252, 432) = ( 252 x 432 ) / 3024

= 252 / 432

= 252

Step2:

LCM(36, 147) = 1764

GCD(36, 147) = ( 36 x 147 ) / 1764

= 36 / 147

= 36

Step3:

LCM(3, 603) = 603

GCD(3, 603) = ( 3 x 603 ) / 603

= 3 / 603

= 3

So, Greatest Common Divisor of 252, 432, 147, 603 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 374, 204, 974
• GCD of 246, 729, 140, 471
• GCD of 274, 194, 115, 411
• GCD of 788, 154, 710, 154
• GCD of 397, 826, 131, 874

Given numbers are 252, 432, 147, 603
The greatest common divisor of numbers 252, 432, 147, 603 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 432, 147, 603 is 3.

1. What is the GCD of 252, 432, 147, 603?

GCD of given numbers 252, 432, 147, 603 is 3

2. How to calculate the greatest common divisor of 252, 432, 147, 603?

We can find the highest common divisor of 252, 432, 147, 603 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 252, 432, 147, 603 i.e 3.

3. How can I use the GCD of 252, 432, 147, 603Calculator?

Out the numbers 252, 432, 147, 603 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.