GCD of 72, 427, 352, 257 Calculator

Given Input numbers are 72, 427, 352, 257

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 72, 427, 352, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 427, 352, 257 is 1.

Therefore, GCD of numbers 72, 427, 352, 257 is 1

Given Input Data is 72, 427, 352, 257

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 427 is 7 x 61

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 257 is 257

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(72, 427) = 30744

GCD(72, 427) = ( 72 x 427 ) / 30744

GCD(72, 427) = 30744 / 30744

GCD(72, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 352

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

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

GCD(1, 352) = 352 / 352

GCD(1, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 72, 427, 352, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 22, 576, 534, 104
• GCD of 55, 190, 426, 725
• GCD of 73, 280, 211, 739
• GCD of 89, 435, 951, 945
• GCD of 64, 198, 417, 366

1. What is the GCD of 72, 427, 352, 257?

GCD of 72, 427, 352, 257 is 1

2. Where do I get the detailed procedure to find GCD of 72, 427, 352, 257?

You can find a detailed procedure to find GCD of 72, 427, 352, 257 on our page.

3. How to find GCD of 72, 427, 352, 257 on a calculator?

You can find the GCD of 72, 427, 352, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.