GCD of 156, 852, 516, 438 Calculator

Given Input numbers are 156, 852, 516, 438

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

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (156, 852, 516, 438) = 6.

Given numbers are 156, 852, 516, 438

The list of prime factors of all numbers are

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

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 156, 852, 516, 438 is 6.

Given numbers are 156, 852, 516, 438

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

Apply this formula for all numbers.

Step1:

LCM(156, 852) = 11076

GCD(156, 852) = ( 156 x 852 ) / 11076

= 156 / 852

= 156

Step2:

LCM(12, 516) = 516

GCD(12, 516) = ( 12 x 516 ) / 516

= 12 / 516

= 12

Step3:

LCM(12, 438) = 876

GCD(12, 438) = ( 12 x 438 ) / 876

= 12 / 438

= 12

So, Greatest Common Divisor of 156, 852, 516, 438 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 914, 834, 204
• GCD of 390, 899, 459, 436
• GCD of 753, 856, 135, 980
• GCD of 253, 840, 872, 337
• GCD of 826, 317, 842, 728

Given numbers are 156, 852, 516, 438
The greatest common divisor of numbers 156, 852, 516, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 852, 516, 438 is 6.

1. What is the GCD of 156, 852, 516, 438?

GCD of given numbers 156, 852, 516, 438 is 6

2. How to calculate the greatest common divisor of 156, 852, 516, 438?

We can find the highest common divisor of 156, 852, 516, 438 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 156, 852, 516, 438 i.e 6.

3. How can I use the GCD of 156, 852, 516, 438Calculator?

Out the numbers 156, 852, 516, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.