GCD of 722, 362, 955, 497 Calculator

Given Input numbers are 722, 362, 955, 497

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 722, 362, 955, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 362, 955, 497 is 1.

Therefore, GCD of numbers 722, 362, 955, 497 is 1

Given Input Data is 722, 362, 955, 497

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 362 is 2 x 181

Prime Factorization of 955 is 5 x 191

Prime Factorization of 497 is 7 x 71

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, 362) = 130682

GCD(722, 362) = ( 722 x 362 ) / 130682

GCD(722, 362) = 261364 / 130682

GCD(722, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 955

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

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

GCD(2, 955) = 1910 / 1910

GCD(2, 955) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 722, 362, 955, 497 is 1

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1. What is the GCD of 722, 362, 955, 497?

GCD of 722, 362, 955, 497 is 1

2. Where do I get the detailed procedure to find GCD of 722, 362, 955, 497?

You can find a detailed procedure to find GCD of 722, 362, 955, 497 on our page.

3. How to find GCD of 722, 362, 955, 497 on a calculator?

You can find the GCD of 722, 362, 955, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.