GCD of 561, 722, 772, 740 Calculator

Given Input numbers are 561, 722, 772, 740

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 561, 722, 772, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 722, 772, 740 is 1.

Therefore, GCD of numbers 561, 722, 772, 740 is 1

Given Input Data is 561, 722, 772, 740

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(561, 722) = 405042

GCD(561, 722) = ( 561 x 722 ) / 405042

GCD(561, 722) = 405042 / 405042

GCD(561, 722) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 561, 722, 772, 740 is 1

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1. What is the GCD of 561, 722, 772, 740?

GCD of 561, 722, 772, 740 is 1

2. Where do I get the detailed procedure to find GCD of 561, 722, 772, 740?

You can find a detailed procedure to find GCD of 561, 722, 772, 740 on our page.

3. How to find GCD of 561, 722, 772, 740 on a calculator?

You can find the GCD of 561, 722, 772, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.