GCD of 156, 232, 420, 442 Calculator

Given Input numbers are 156, 232, 420, 442

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (156, 232, 420, 442) = 2.

Given numbers are 156, 232, 420, 442

The list of prime factors of all numbers are

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

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 156, 232, 420, 442 is 2.

Given numbers are 156, 232, 420, 442

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

Apply this formula for all numbers.

Step1:

LCM(156, 232) = 9048

GCD(156, 232) = ( 156 x 232 ) / 9048

= 156 / 232

= 156

Step2:

LCM(4, 420) = 420

GCD(4, 420) = ( 4 x 420 ) / 420

= 4 / 420

= 4

Step3:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

So, Greatest Common Divisor of 156, 232, 420, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 680, 605, 150
• GCD of 717, 520, 443, 226
• GCD of 451, 971, 294, 500
• GCD of 354, 298, 261, 334
• GCD of 810, 533, 792, 142

Given numbers are 156, 232, 420, 442
The greatest common divisor of numbers 156, 232, 420, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 232, 420, 442 is 2.

1. What is the GCD of 156, 232, 420, 442?

GCD of given numbers 156, 232, 420, 442 is 2

2. How to calculate the greatest common divisor of 156, 232, 420, 442?

We can find the highest common divisor of 156, 232, 420, 442 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, 232, 420, 442 i.e 2.

3. How can I use the GCD of 156, 232, 420, 442Calculator?

Out the numbers 156, 232, 420, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.