GCD of 169, 745, 238, 722 Calculator

Given Input numbers are 169, 745, 238, 722

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 238

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

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 169, 745, 238, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 745, 238, 722 is 1.

Therefore, GCD of numbers 169, 745, 238, 722 is 1

Given Input Data is 169, 745, 238, 722

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 169 is 13 x 13

Prime Factorization of 745 is 5 x 149

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 722 is 2 x 19 x 19

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(169, 745) = 125905

GCD(169, 745) = ( 169 x 745 ) / 125905

GCD(169, 745) = 125905 / 125905

GCD(169, 745) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 169, 745, 238, 722 is 1

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1. What is the GCD of 169, 745, 238, 722?

GCD of 169, 745, 238, 722 is 1

2. Where do I get the detailed procedure to find GCD of 169, 745, 238, 722?

You can find a detailed procedure to find GCD of 169, 745, 238, 722 on our page.

3. How to find GCD of 169, 745, 238, 722 on a calculator?

You can find the GCD of 169, 745, 238, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.