GCD of 595, 745, 10, 722 Calculator

Given Input numbers are 595, 745, 10, 722

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 745

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

1, 5, 149, 745

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 595, 745, 10, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 745, 10, 722 is 1.

Therefore, GCD of numbers 595, 745, 10, 722 is 1

Given Input Data is 595, 745, 10, 722

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 745 is 5 x 149

Prime Factorization of 10 is 2 x 5

Prime Factorization of 722 is 2 x 19 x 19

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(595, 745) = 88655

GCD(595, 745) = ( 595 x 745 ) / 88655

GCD(595, 745) = 443275 / 88655

GCD(595, 745) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 10

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

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

GCD(5, 10) = 50 / 10

GCD(5, 10) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 722

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

LCM(5, 722) = 3610

GCD(5, 722) = ( 5 x 722 ) / 3610

GCD(5, 722) = 3610 / 3610

GCD(5, 722) = 1

GCD of 595, 745, 10, 722 is 1

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1. What is the GCD of 595, 745, 10, 722?

GCD of 595, 745, 10, 722 is 1

2. Where do I get the detailed procedure to find GCD of 595, 745, 10, 722?

You can find a detailed procedure to find GCD of 595, 745, 10, 722 on our page.

3. How to find GCD of 595, 745, 10, 722 on a calculator?

You can find the GCD of 595, 745, 10, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.