GCD of 722, 372, 344, 535 Calculator

Given Input numbers are 722, 372, 344, 535

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 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Greatest Common Divisior

We found the divisors of 722, 372, 344, 535 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 372, 344, 535 is 1.

Therefore, GCD of numbers 722, 372, 344, 535 is 1

Given Input Data is 722, 372, 344, 535

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 372 is 2 x 2 x 3 x 31

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 535 is 5 x 107

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, 372) = 134292

GCD(722, 372) = ( 722 x 372 ) / 134292

GCD(722, 372) = 268584 / 134292

GCD(722, 372) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 535

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

LCM(2, 535) = 1070

GCD(2, 535) = ( 2 x 535 ) / 1070

GCD(2, 535) = 1070 / 1070

GCD(2, 535) = 1

GCD of 722, 372, 344, 535 is 1

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1. What is the GCD of 722, 372, 344, 535?

GCD of 722, 372, 344, 535 is 1

2. Where do I get the detailed procedure to find GCD of 722, 372, 344, 535?

You can find a detailed procedure to find GCD of 722, 372, 344, 535 on our page.

3. How to find GCD of 722, 372, 344, 535 on a calculator?

You can find the GCD of 722, 372, 344, 535 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.