GCD of 212, 976, 164 Calculator

Given Input numbers are 212, 976, 164

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

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (212, 976, 164) = 4.

Given numbers are 212, 976, 164

The list of prime factors of all numbers are

Prime factors of 212 are 2 x 2 x 53

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2²

Therefore, GCD of 212, 976, 164 is 4.

Given numbers are 212, 976, 164

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

Apply this formula for all numbers.

Step1:

LCM(212, 976) = 51728

GCD(212, 976) = ( 212 x 976 ) / 51728

= 212 / 976

= 212

Step2:

LCM(4, 164) = 164

GCD(4, 164) = ( 4 x 164 ) / 164

= 4 / 164

= 4

So, Greatest Common Divisor of 212, 976, 164 is 4

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Given numbers are 212, 976, 164
The greatest common divisor of numbers 212, 976, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 976, 164 is 4.

1. What is the GCD of 212, 976, 164?

GCD of given numbers 212, 976, 164 is 4

2. How to calculate the greatest common divisor of 212, 976, 164?

We can find the highest common divisor of 212, 976, 164 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 212, 976, 164 i.e 4.

3. How can I use the GCD of 212, 976, 164Calculator?

Out the numbers 212, 976, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.