GCD of 169, 245, 696, 738 Calculator

Given Input numbers are 169, 245, 696, 738

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 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 169, 245, 696, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 245, 696, 738 is 1.

Therefore, GCD of numbers 169, 245, 696, 738 is 1

Given Input Data is 169, 245, 696, 738

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 245) = 41405

GCD(169, 245) = ( 169 x 245 ) / 41405

GCD(169, 245) = 41405 / 41405

GCD(169, 245) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 169, 245, 696, 738 is 1

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1. What is the GCD of 169, 245, 696, 738?

GCD of 169, 245, 696, 738 is 1

2. Where do I get the detailed procedure to find GCD of 169, 245, 696, 738?

You can find a detailed procedure to find GCD of 169, 245, 696, 738 on our page.

3. How to find GCD of 169, 245, 696, 738 on a calculator?

You can find the GCD of 169, 245, 696, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.