GCD of 722, 597, 15, 740 Calculator

Given Input numbers are 722, 597, 15, 740

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

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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 722, 597, 15, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 597, 15, 740 is 1.

Therefore, GCD of numbers 722, 597, 15, 740 is 1

Given Input Data is 722, 597, 15, 740

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 597 is 3 x 199

Prime Factorization of 15 is 3 x 5

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(722, 597) = 431034

GCD(722, 597) = ( 722 x 597 ) / 431034

GCD(722, 597) = 431034 / 431034

GCD(722, 597) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 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 722, 597, 15, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 599, 29, 957
• GCD of 455, 293, 39, 627
• GCD of 435, 737, 77, 371
• GCD of 816, 929, 38, 707
• GCD of 206, 139, 89, 647

1. What is the GCD of 722, 597, 15, 740?

GCD of 722, 597, 15, 740 is 1

2. Where do I get the detailed procedure to find GCD of 722, 597, 15, 740?

You can find a detailed procedure to find GCD of 722, 597, 15, 740 on our page.

3. How to find GCD of 722, 597, 15, 740 on a calculator?

You can find the GCD of 722, 597, 15, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.