GCD of 362, 690, 169 Calculator

Given Input numbers are 362, 690, 169

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

Divisors of 362

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

1, 2, 181, 362

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 169

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

1, 13, 169

Greatest Common Divisior

We found the divisors of 362, 690, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 690, 169 is 1.

Therefore, GCD of numbers 362, 690, 169 is 1

Given Input Data is 362, 690, 169

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 169 is 13 x 13

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(362, 690) = 124890

GCD(362, 690) = ( 362 x 690 ) / 124890

GCD(362, 690) = 249780 / 124890

GCD(362, 690) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

GCD of 362, 690, 169 is 1

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1. What is the GCD of 362, 690, 169?

GCD of 362, 690, 169 is 1

2. Where do I get the detailed procedure to find GCD of 362, 690, 169?

You can find a detailed procedure to find GCD of 362, 690, 169 on our page.

3. How to find GCD of 362, 690, 169 on a calculator?

You can find the GCD of 362, 690, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.