GCD of 456, 836, 392, 156 Calculator

Given Input numbers are 456, 836, 392, 156

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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 (456, 836, 392, 156) = 4.

Given numbers are 456, 836, 392, 156

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 836 are 2 x 2 x 11 x 19

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 456, 836, 392, 156 is 4.

Given numbers are 456, 836, 392, 156

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

Apply this formula for all numbers.

Step1:

LCM(456, 836) = 5016

GCD(456, 836) = ( 456 x 836 ) / 5016

= 456 / 836

= 456

Step2:

LCM(76, 392) = 7448

GCD(76, 392) = ( 76 x 392 ) / 7448

= 76 / 392

= 76

Step3:

LCM(4, 156) = 156

GCD(4, 156) = ( 4 x 156 ) / 156

= 4 / 156

= 4

So, Greatest Common Divisor of 456, 836, 392, 156 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 506, 348, 262, 944
• GCD of 793, 780, 557, 905
• GCD of 896, 678, 795, 937
• GCD of 379, 224, 895, 938
• GCD of 950, 146, 186, 245

Given numbers are 456, 836, 392, 156
The greatest common divisor of numbers 456, 836, 392, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 836, 392, 156 is 4.

1. What is the GCD of 456, 836, 392, 156?

GCD of given numbers 456, 836, 392, 156 is 4

2. How to calculate the greatest common divisor of 456, 836, 392, 156?

We can find the highest common divisor of 456, 836, 392, 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 456, 836, 392, 156 i.e 4.

3. How can I use the GCD of 456, 836, 392, 156Calculator?

Out the numbers 456, 836, 392, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.