GCD of 442, 644, 364, 272 Calculator

Given Input numbers are 442, 644, 364, 272

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

Divisors of 442 :

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

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

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (442, 644, 364, 272) = 2.

Given numbers are 442, 644, 364, 272

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

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

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 442, 644, 364, 272 is 2.

Given numbers are 442, 644, 364, 272

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

Apply this formula for all numbers.

Step1:

LCM(442, 644) = 142324

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

= 442 / 644

= 442

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 442, 644, 364, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 171, 579, 999
• GCD of 905, 459, 860, 932
• GCD of 842, 669, 626, 874
• GCD of 445, 348, 852, 147
• GCD of 620, 892, 537, 422

Given numbers are 442, 644, 364, 272
The greatest common divisor of numbers 442, 644, 364, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 644, 364, 272 is 2.

1. What is the GCD of 442, 644, 364, 272?

GCD of given numbers 442, 644, 364, 272 is 2

2. How to calculate the greatest common divisor of 442, 644, 364, 272?

We can find the highest common divisor of 442, 644, 364, 272 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 442, 644, 364, 272 i.e 2.

3. How can I use the GCD of 442, 644, 364, 272Calculator?

Out the numbers 442, 644, 364, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.