GCD of 422, 964, 574, 272 Calculator

Given Input numbers are 422, 964, 574, 272

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

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 (422, 964, 574, 272) = 2.

Given numbers are 422, 964, 574, 272

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 964 are 2 x 2 x 241

Prime factors of 574 are 2 x 7 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 422, 964, 574, 272 is 2.

Given numbers are 422, 964, 574, 272

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

Apply this formula for all numbers.

Step1:

LCM(422, 964) = 203404

GCD(422, 964) = ( 422 x 964 ) / 203404

= 422 / 964

= 422

Step2:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2

Step3:

LCM(2, 272) = 272

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

= 2 / 272

= 2

So, Greatest Common Divisor of 422, 964, 574, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 635, 887, 957
• GCD of 202, 662, 596, 529
• GCD of 890, 484, 270, 117
• GCD of 464, 641, 390, 922
• GCD of 572, 597, 382, 837

Given numbers are 422, 964, 574, 272
The greatest common divisor of numbers 422, 964, 574, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 964, 574, 272 is 2.

1. What is the GCD of 422, 964, 574, 272?

GCD of given numbers 422, 964, 574, 272 is 2

2. How to calculate the greatest common divisor of 422, 964, 574, 272?

We can find the highest common divisor of 422, 964, 574, 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 422, 964, 574, 272 i.e 2.

3. How can I use the GCD of 422, 964, 574, 272Calculator?

Out the numbers 422, 964, 574, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.