GCD of 361, 693, 149 Calculator

Given Input numbers are 361, 693, 149

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 361, 693, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 693, 149 is 1.

Therefore, GCD of numbers 361, 693, 149 is 1

Given Input Data is 361, 693, 149

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 149 is 149

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(361, 693) = 250173

GCD(361, 693) = ( 361 x 693 ) / 250173

GCD(361, 693) = 250173 / 250173

GCD(361, 693) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 361, 693, 149 is 1

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1. What is the GCD of 361, 693, 149?

GCD of 361, 693, 149 is 1

2. Where do I get the detailed procedure to find GCD of 361, 693, 149?

You can find a detailed procedure to find GCD of 361, 693, 149 on our page.

3. How to find GCD of 361, 693, 149 on a calculator?

You can find the GCD of 361, 693, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.