GCD of 164, 464, 836, 216 Calculator

Given Input numbers are 164, 464, 836, 216

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (164, 464, 836, 216) = 4.

Given numbers are 164, 464, 836, 216

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2²

Therefore, GCD of 164, 464, 836, 216 is 4.

Given numbers are 164, 464, 836, 216

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

Apply this formula for all numbers.

Step1:

LCM(164, 464) = 19024

GCD(164, 464) = ( 164 x 464 ) / 19024

= 164 / 464

= 164

Step2:

LCM(4, 836) = 836

GCD(4, 836) = ( 4 x 836 ) / 836

= 4 / 836

= 4

Step3:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4

So, Greatest Common Divisor of 164, 464, 836, 216 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 197, 666, 140
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Given numbers are 164, 464, 836, 216
The greatest common divisor of numbers 164, 464, 836, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 464, 836, 216 is 4.

1. What is the GCD of 164, 464, 836, 216?

GCD of given numbers 164, 464, 836, 216 is 4

2. How to calculate the greatest common divisor of 164, 464, 836, 216?

We can find the highest common divisor of 164, 464, 836, 216 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 164, 464, 836, 216 i.e 4.

3. How can I use the GCD of 164, 464, 836, 216Calculator?

Out the numbers 164, 464, 836, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.