GCD of 722, 305, 38, 102 Calculator

Given Input numbers are 722, 305, 38, 102

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 722, 305, 38, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 305, 38, 102 is 1.

Therefore, GCD of numbers 722, 305, 38, 102 is 1

Given Input Data is 722, 305, 38, 102

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 305 is 5 x 61

Prime Factorization of 38 is 2 x 19

Prime Factorization of 102 is 2 x 3 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, 305) = 220210

GCD(722, 305) = ( 722 x 305 ) / 220210

GCD(722, 305) = 220210 / 220210

GCD(722, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 722, 305, 38, 102 is 1

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1. What is the GCD of 722, 305, 38, 102?

GCD of 722, 305, 38, 102 is 1

2. Where do I get the detailed procedure to find GCD of 722, 305, 38, 102?

You can find a detailed procedure to find GCD of 722, 305, 38, 102 on our page.

3. How to find GCD of 722, 305, 38, 102 on a calculator?

You can find the GCD of 722, 305, 38, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.