GCD of 935, 475, 308, 272 Calculator

Given Input numbers are 935, 475, 308, 272

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

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

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

Greatest Common Divisior

We found the divisors of 935, 475, 308, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 475, 308, 272 is 1.

Therefore, GCD of numbers 935, 475, 308, 272 is 1

Given Input Data is 935, 475, 308, 272

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

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(935, 475) = 88825

GCD(935, 475) = ( 935 x 475 ) / 88825

GCD(935, 475) = 444125 / 88825

GCD(935, 475) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 308

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

LCM(5, 308) = 1540

GCD(5, 308) = ( 5 x 308 ) / 1540

GCD(5, 308) = 1540 / 1540

GCD(5, 308) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 935, 475, 308, 272 is 1

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1. What is the GCD of 935, 475, 308, 272?

GCD of 935, 475, 308, 272 is 1

2. Where do I get the detailed procedure to find GCD of 935, 475, 308, 272?

You can find a detailed procedure to find GCD of 935, 475, 308, 272 on our page.

3. How to find GCD of 935, 475, 308, 272 on a calculator?

You can find the GCD of 935, 475, 308, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.