GCD of 612, 742, 304, 864 Calculator

Given Input numbers are 612, 742, 304, 864

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (612, 742, 304, 864) = 2.

Given numbers are 612, 742, 304, 864

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 742 are 2 x 7 x 53

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 612, 742, 304, 864 is 2.

Given numbers are 612, 742, 304, 864

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

Apply this formula for all numbers.

Step1:

LCM(612, 742) = 227052

GCD(612, 742) = ( 612 x 742 ) / 227052

= 612 / 742

= 612

Step2:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

Step3:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

So, Greatest Common Divisor of 612, 742, 304, 864 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 636, 982, 856
• GCD of 192, 837, 149, 678
• GCD of 739, 728, 581, 713
• GCD of 135, 478, 940, 643
• GCD of 789, 726, 344, 522

Given numbers are 612, 742, 304, 864
The greatest common divisor of numbers 612, 742, 304, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 742, 304, 864 is 2.

1. What is the GCD of 612, 742, 304, 864?

GCD of given numbers 612, 742, 304, 864 is 2

2. How to calculate the greatest common divisor of 612, 742, 304, 864?

We can find the highest common divisor of 612, 742, 304, 864 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, 742, 304, 864 i.e 2.

3. How can I use the GCD of 612, 742, 304, 864Calculator?

Out the numbers 612, 742, 304, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.