GCD of 935, 264, 745, 408 Calculator

Given Input numbers are 935, 264, 745, 408

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 935, 264, 745, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 264, 745, 408 is 1.

Therefore, GCD of numbers 935, 264, 745, 408 is 1

Given Input Data is 935, 264, 745, 408

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 745 is 5 x 149

Prime Factorization of 408 is 2 x 2 x 2 x 3 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, 264) = 22440

GCD(935, 264) = ( 935 x 264 ) / 22440

GCD(935, 264) = 246840 / 22440

GCD(935, 264) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 745

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

LCM(11, 745) = 8195

GCD(11, 745) = ( 11 x 745 ) / 8195

GCD(11, 745) = 8195 / 8195

GCD(11, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 935, 264, 745, 408 is 1

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1. What is the GCD of 935, 264, 745, 408?

GCD of 935, 264, 745, 408 is 1

2. Where do I get the detailed procedure to find GCD of 935, 264, 745, 408?

You can find a detailed procedure to find GCD of 935, 264, 745, 408 on our page.

3. How to find GCD of 935, 264, 745, 408 on a calculator?

You can find the GCD of 935, 264, 745, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.