GCD of 612, 464, 648, 790 Calculator

Given Input numbers are 612, 464, 648, 790

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

GCD of numbers is the greatest common divisor

So, the GCD (612, 464, 648, 790) = 2.

Given numbers are 612, 464, 648, 790

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 790 are 2 x 5 x 79

The highest common occurrence is 2¹

Therefore, GCD of 612, 464, 648, 790 is 2.

Given numbers are 612, 464, 648, 790

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

Apply this formula for all numbers.

Step1:

LCM(612, 464) = 70992

GCD(612, 464) = ( 612 x 464 ) / 70992

= 612 / 464

= 612

Step2:

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

= 4 / 648

= 4

Step3:

LCM(4, 790) = 1580

GCD(4, 790) = ( 4 x 790 ) / 1580

= 4 / 790

= 4

So, Greatest Common Divisor of 612, 464, 648, 790 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 976, 594, 710
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• GCD of 643, 384, 158, 287

Given numbers are 612, 464, 648, 790
The greatest common divisor of numbers 612, 464, 648, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 464, 648, 790 is 2.

1. What is the GCD of 612, 464, 648, 790?

GCD of given numbers 612, 464, 648, 790 is 2

2. How to calculate the greatest common divisor of 612, 464, 648, 790?

We can find the highest common divisor of 612, 464, 648, 790 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, 464, 648, 790 i.e 2.

3. How can I use the GCD of 612, 464, 648, 790Calculator?

Out the numbers 612, 464, 648, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.