GCD of 644, 442, 820, 142 Calculator

Given Input numbers are 644, 442, 820, 142

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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

Divisors of 142 :

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

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (644, 442, 820, 142) = 2.

Given numbers are 644, 442, 820, 142

The list of prime factors of all numbers are

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 442 are 2 x 13 x 17

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

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 644, 442, 820, 142 is 2.

Given numbers are 644, 442, 820, 142

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

Apply this formula for all numbers.

Step1:

LCM(644, 442) = 142324

GCD(644, 442) = ( 644 x 442 ) / 142324

= 644 / 442

= 644

Step2:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 644, 442, 820, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 842, 776, 419
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Given numbers are 644, 442, 820, 142
The greatest common divisor of numbers 644, 442, 820, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 442, 820, 142 is 2.

1. What is the GCD of 644, 442, 820, 142?

GCD of given numbers 644, 442, 820, 142 is 2

2. How to calculate the greatest common divisor of 644, 442, 820, 142?

We can find the highest common divisor of 644, 442, 820, 142 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 644, 442, 820, 142 i.e 2.

3. How can I use the GCD of 644, 442, 820, 142Calculator?

Out the numbers 644, 442, 820, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.