GCD of 164, 612, 274, 828 Calculator

Given Input numbers are 164, 612, 274, 828

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (164, 612, 274, 828) = 2.

Given numbers are 164, 612, 274, 828

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 274 are 2 x 137

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 164, 612, 274, 828 is 2.

Given numbers are 164, 612, 274, 828

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

Apply this formula for all numbers.

Step1:

LCM(164, 612) = 25092

GCD(164, 612) = ( 164 x 612 ) / 25092

= 164 / 612

= 164

Step2:

LCM(4, 274) = 548

GCD(4, 274) = ( 4 x 274 ) / 548

= 4 / 274

= 4

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 164, 612, 274, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 365, 890, 481
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Given numbers are 164, 612, 274, 828
The greatest common divisor of numbers 164, 612, 274, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 612, 274, 828 is 2.

1. What is the GCD of 164, 612, 274, 828?

GCD of given numbers 164, 612, 274, 828 is 2

2. How to calculate the greatest common divisor of 164, 612, 274, 828?

We can find the highest common divisor of 164, 612, 274, 828 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, 612, 274, 828 i.e 2.

3. How can I use the GCD of 164, 612, 274, 828Calculator?

Out the numbers 164, 612, 274, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.