GCD of 642, 432, 612, 820 Calculator

Given Input numbers are 642, 432, 612, 820

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

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

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (642, 432, 612, 820) = 2.

Given numbers are 642, 432, 612, 820

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 642, 432, 612, 820 is 2.

Given numbers are 642, 432, 612, 820

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

Apply this formula for all numbers.

Step1:

LCM(642, 432) = 46224

GCD(642, 432) = ( 642 x 432 ) / 46224

= 642 / 432

= 642

Step2:

LCM(6, 612) = 612

GCD(6, 612) = ( 6 x 612 ) / 612

= 6 / 612

= 6

Step3:

LCM(6, 820) = 2460

GCD(6, 820) = ( 6 x 820 ) / 2460

= 6 / 820

= 6

So, Greatest Common Divisor of 642, 432, 612, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 430, 205, 717
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• GCD of 635, 407, 797, 364

Given numbers are 642, 432, 612, 820
The greatest common divisor of numbers 642, 432, 612, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 432, 612, 820 is 2.

1. What is the GCD of 642, 432, 612, 820?

GCD of given numbers 642, 432, 612, 820 is 2

2. How to calculate the greatest common divisor of 642, 432, 612, 820?

We can find the highest common divisor of 642, 432, 612, 820 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 642, 432, 612, 820 i.e 2.

3. How can I use the GCD of 642, 432, 612, 820Calculator?

Out the numbers 642, 432, 612, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.