GCD of 935, 825, 545, 806 Calculator

Given Input numbers are 935, 825, 545, 806

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 935, 825, 545, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 935, 825, 545, 806 is 1.

Therefore, GCD of numbers 935, 825, 545, 806 is 1

Given Input Data is 935, 825, 545, 806

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 825 is 3 x 5 x 5 x 11

Prime Factorization of 545 is 5 x 109

Prime Factorization of 806 is 2 x 13 x 31

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, 825) = 14025

GCD(935, 825) = ( 935 x 825 ) / 14025

GCD(935, 825) = 771375 / 14025

GCD(935, 825) = 55

Step2:

Here we consider the GCD from the above i.e. 55 as first number and the next as 545

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

LCM(55, 545) = 5995

GCD(55, 545) = ( 55 x 545 ) / 5995

GCD(55, 545) = 29975 / 5995

GCD(55, 545) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 806

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

LCM(5, 806) = 4030

GCD(5, 806) = ( 5 x 806 ) / 4030

GCD(5, 806) = 4030 / 4030

GCD(5, 806) = 1

GCD of 935, 825, 545, 806 is 1

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1. What is the GCD of 935, 825, 545, 806?

GCD of 935, 825, 545, 806 is 1

2. Where do I get the detailed procedure to find GCD of 935, 825, 545, 806?

You can find a detailed procedure to find GCD of 935, 825, 545, 806 on our page.

3. How to find GCD of 935, 825, 545, 806 on a calculator?

You can find the GCD of 935, 825, 545, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.