GCD of 722, 734, 997, 510 Calculator

Given Input numbers are 722, 734, 997, 510

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Greatest Common Divisior

We found the divisors of 722, 734, 997, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 734, 997, 510 is 1.

Therefore, GCD of numbers 722, 734, 997, 510 is 1

Given Input Data is 722, 734, 997, 510

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 734 is 2 x 367

Prime Factorization of 997 is 997

Prime Factorization of 510 is 2 x 3 x 5 x 17

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, 734) = 264974

GCD(722, 734) = ( 722 x 734 ) / 264974

GCD(722, 734) = 529948 / 264974

GCD(722, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 997

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

LCM(2, 997) = 1994

GCD(2, 997) = ( 2 x 997 ) / 1994

GCD(2, 997) = 1994 / 1994

GCD(2, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 722, 734, 997, 510 is 1

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• GCD of 610, 343, 392, 646
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1. What is the GCD of 722, 734, 997, 510?

GCD of 722, 734, 997, 510 is 1

2. Where do I get the detailed procedure to find GCD of 722, 734, 997, 510?

You can find a detailed procedure to find GCD of 722, 734, 997, 510 on our page.

3. How to find GCD of 722, 734, 997, 510 on a calculator?

You can find the GCD of 722, 734, 997, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.