GCD of 429, 864, 822, 612 Calculator

Given Input numbers are 429, 864, 822, 612

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

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

GCD of numbers is the greatest common divisor

So, the GCD (429, 864, 822, 612) = 3.

Given numbers are 429, 864, 822, 612

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

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

Prime factors of 822 are 2 x 3 x 137

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

The highest common occurrence is 3¹

Therefore, GCD of 429, 864, 822, 612 is 3.

Given numbers are 429, 864, 822, 612

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

Apply this formula for all numbers.

Step1:

LCM(429, 864) = 123552

GCD(429, 864) = ( 429 x 864 ) / 123552

= 429 / 864

= 429

Step2:

LCM(3, 822) = 822

GCD(3, 822) = ( 3 x 822 ) / 822

= 3 / 822

= 3

Step3:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

So, Greatest Common Divisor of 429, 864, 822, 612 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 522, 308, 337
• GCD of 127, 309, 150, 141
• GCD of 541, 298, 511, 874
• GCD of 458, 365, 706, 473
• GCD of 431, 131, 688, 912

Given numbers are 429, 864, 822, 612
The greatest common divisor of numbers 429, 864, 822, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 864, 822, 612 is 3.

1. What is the GCD of 429, 864, 822, 612?

GCD of given numbers 429, 864, 822, 612 is 3

2. How to calculate the greatest common divisor of 429, 864, 822, 612?

We can find the highest common divisor of 429, 864, 822, 612 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 429, 864, 822, 612 i.e 3.

3. How can I use the GCD of 429, 864, 822, 612Calculator?

Out the numbers 429, 864, 822, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.