GCD of 142, 608, 432, 822 Calculator

Given Input numbers are 142, 608, 432, 822

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

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 822 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (142, 608, 432, 822) = 2.

Given numbers are 142, 608, 432, 822

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 142, 608, 432, 822 is 2.

Given numbers are 142, 608, 432, 822

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

Apply this formula for all numbers.

Step1:

LCM(142, 608) = 43168

GCD(142, 608) = ( 142 x 608 ) / 43168

= 142 / 608

= 142

Step2:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 142, 608, 432, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 136, 713, 614
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Given numbers are 142, 608, 432, 822
The greatest common divisor of numbers 142, 608, 432, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 608, 432, 822 is 2.

1. What is the GCD of 142, 608, 432, 822?

GCD of given numbers 142, 608, 432, 822 is 2

2. How to calculate the greatest common divisor of 142, 608, 432, 822?

We can find the highest common divisor of 142, 608, 432, 822 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 142, 608, 432, 822 i.e 2.

3. How can I use the GCD of 142, 608, 432, 822Calculator?

Out the numbers 142, 608, 432, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.