GCD of 722, 178, 83, 238 Calculator

Given Input numbers are 722, 178, 83, 238

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 722, 178, 83, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 178, 83, 238 is 1.

Therefore, GCD of numbers 722, 178, 83, 238 is 1

Given Input Data is 722, 178, 83, 238

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 178 is 2 x 89

Prime Factorization of 83 is 83

Prime Factorization of 238 is 2 x 7 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, 178) = 64258

GCD(722, 178) = ( 722 x 178 ) / 64258

GCD(722, 178) = 128516 / 64258

GCD(722, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 722, 178, 83, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 177, 44, 824
• GCD of 324, 298, 47, 873
• GCD of 778, 201, 47, 965
• GCD of 660, 793, 14, 748
• GCD of 773, 235, 62, 499

1. What is the GCD of 722, 178, 83, 238?

GCD of 722, 178, 83, 238 is 1

2. Where do I get the detailed procedure to find GCD of 722, 178, 83, 238?

You can find a detailed procedure to find GCD of 722, 178, 83, 238 on our page.

3. How to find GCD of 722, 178, 83, 238 on a calculator?

You can find the GCD of 722, 178, 83, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.