GCD of 612, 164, 574, 744 Calculator

Given Input numbers are 612, 164, 574, 744

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

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 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (612, 164, 574, 744) = 2.

Given numbers are 612, 164, 574, 744

The list of prime factors of all numbers are

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

Prime factors of 164 are 2 x 2 x 41

Prime factors of 574 are 2 x 7 x 41

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 612, 164, 574, 744 is 2.

Given numbers are 612, 164, 574, 744

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

Apply this formula for all numbers.

Step1:

LCM(612, 164) = 25092

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

= 612 / 164

= 612

Step2:

LCM(4, 574) = 1148

GCD(4, 574) = ( 4 x 574 ) / 1148

= 4 / 574

= 4

Step3:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

So, Greatest Common Divisor of 612, 164, 574, 744 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 869, 758, 413
• GCD of 834, 413, 323, 291
• GCD of 966, 104, 623, 373
• GCD of 604, 203, 323, 378
• GCD of 434, 748, 629, 220

Given numbers are 612, 164, 574, 744
The greatest common divisor of numbers 612, 164, 574, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 164, 574, 744 is 2.

1. What is the GCD of 612, 164, 574, 744?

GCD of given numbers 612, 164, 574, 744 is 2

2. How to calculate the greatest common divisor of 612, 164, 574, 744?

We can find the highest common divisor of 612, 164, 574, 744 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 612, 164, 574, 744 i.e 2.

3. How can I use the GCD of 612, 164, 574, 744Calculator?

Out the numbers 612, 164, 574, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.