GCD of 612, 396, 338, 574 Calculator

Given Input numbers are 612, 396, 338, 574

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 574 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (612, 396, 338, 574) = 2.

Given numbers are 612, 396, 338, 574

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 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 338 are 2 x 13 x 13

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 2¹

Therefore, GCD of 612, 396, 338, 574 is 2.

Given numbers are 612, 396, 338, 574

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

Apply this formula for all numbers.

Step1:

LCM(612, 396) = 6732

GCD(612, 396) = ( 612 x 396 ) / 6732

= 612 / 396

= 612

Step2:

LCM(36, 338) = 6084

GCD(36, 338) = ( 36 x 338 ) / 6084

= 36 / 338

= 36

Step3:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2

So, Greatest Common Divisor of 612, 396, 338, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 674, 399, 669
• GCD of 287, 871, 683, 934
• GCD of 179, 746, 565, 270
• GCD of 633, 544, 839, 314
• GCD of 121, 844, 467, 735

Given numbers are 612, 396, 338, 574
The greatest common divisor of numbers 612, 396, 338, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 396, 338, 574 is 2.

1. What is the GCD of 612, 396, 338, 574?

GCD of given numbers 612, 396, 338, 574 is 2

2. How to calculate the greatest common divisor of 612, 396, 338, 574?

We can find the highest common divisor of 612, 396, 338, 574 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, 396, 338, 574 i.e 2.

3. How can I use the GCD of 612, 396, 338, 574Calculator?

Out the numbers 612, 396, 338, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.