GCD of 272, 488, 570, 398 Calculator

Given Input numbers are 272, 488, 570, 398

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

Divisors of 272 :

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

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (272, 488, 570, 398) = 2.

Given numbers are 272, 488, 570, 398

The list of prime factors of all numbers are

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

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 272, 488, 570, 398 is 2.

Given numbers are 272, 488, 570, 398

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

Apply this formula for all numbers.

Step1:

LCM(272, 488) = 16592

GCD(272, 488) = ( 272 x 488 ) / 16592

= 272 / 488

= 272

Step2:

LCM(8, 570) = 2280

GCD(8, 570) = ( 8 x 570 ) / 2280

= 8 / 570

= 8

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 272, 488, 570, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 803, 304, 363, 736
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• GCD of 717, 997, 698, 614

Given numbers are 272, 488, 570, 398
The greatest common divisor of numbers 272, 488, 570, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 488, 570, 398 is 2.

1. What is the GCD of 272, 488, 570, 398?

GCD of given numbers 272, 488, 570, 398 is 2

2. How to calculate the greatest common divisor of 272, 488, 570, 398?

We can find the highest common divisor of 272, 488, 570, 398 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 272, 488, 570, 398 i.e 2.

3. How can I use the GCD of 272, 488, 570, 398Calculator?

Out the numbers 272, 488, 570, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.