GCD of 935, 506, 709, 428 Calculator

Given Input numbers are 935, 506, 709, 428

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Greatest Common Divisior

We found the divisors of 935, 506, 709, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 506, 709, 428 is 1.

Therefore, GCD of numbers 935, 506, 709, 428 is 1

Given Input Data is 935, 506, 709, 428

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 506 is 2 x 11 x 23

Prime Factorization of 709 is 709

Prime Factorization of 428 is 2 x 2 x 107

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, 506) = 43010

GCD(935, 506) = ( 935 x 506 ) / 43010

GCD(935, 506) = 473110 / 43010

GCD(935, 506) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 709

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

LCM(11, 709) = 7799

GCD(11, 709) = ( 11 x 709 ) / 7799

GCD(11, 709) = 7799 / 7799

GCD(11, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

GCD of 935, 506, 709, 428 is 1

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1. What is the GCD of 935, 506, 709, 428?

GCD of 935, 506, 709, 428 is 1

2. Where do I get the detailed procedure to find GCD of 935, 506, 709, 428?

You can find a detailed procedure to find GCD of 935, 506, 709, 428 on our page.

3. How to find GCD of 935, 506, 709, 428 on a calculator?

You can find the GCD of 935, 506, 709, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.