GCD of 252, 588, 156 Calculator

Given Input numbers are 252, 588, 156

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 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (252, 588, 156) = 12.

Given numbers are 252, 588, 156

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 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 156 are 2 x 2 x 3 x 13

The highest common occurrence is 2² x 3¹

Therefore, GCD of 252, 588, 156 is 12.

Given numbers are 252, 588, 156

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

Apply this formula for all numbers.

Step1:

LCM(252, 588) = 1764

GCD(252, 588) = ( 252 x 588 ) / 1764

= 252 / 588

= 252

Step2:

LCM(84, 156) = 1092

GCD(84, 156) = ( 84 x 156 ) / 1092

= 84 / 156

= 84

So, Greatest Common Divisor of 252, 588, 156 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 556, 808
• GCD of 640, 232, 265
• GCD of 550, 742, 294
• GCD of 687, 454, 567
• GCD of 422, 468, 999

Given numbers are 252, 588, 156
The greatest common divisor of numbers 252, 588, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 588, 156 is 12.

1. What is the GCD of 252, 588, 156?

GCD of given numbers 252, 588, 156 is 12

2. How to calculate the greatest common divisor of 252, 588, 156?

We can find the highest common divisor of 252, 588, 156 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, 588, 156 i.e 12.

3. How can I use the GCD of 252, 588, 156Calculator?

Out the numbers 252, 588, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.