GCD of 154, 212, 13, 693 Calculator

Given Input numbers are 154, 212, 13, 693

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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

Greatest Common Divisior

We found the divisors of 154, 212, 13, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 212, 13, 693 is 1.

Therefore, GCD of numbers 154, 212, 13, 693 is 1

Given Input Data is 154, 212, 13, 693

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 13 is 13

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

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(154, 212) = 16324

GCD(154, 212) = ( 154 x 212 ) / 16324

GCD(154, 212) = 32648 / 16324

GCD(154, 212) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 13

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

LCM(2, 13) = 26

GCD(2, 13) = ( 2 x 13 ) / 26

GCD(2, 13) = 26 / 26

GCD(2, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 154, 212, 13, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 524, 36, 228
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• GCD of 120, 183, 38, 323
• GCD of 527, 388, 36, 463
• GCD of 519, 660, 46, 763

1. What is the GCD of 154, 212, 13, 693?

GCD of 154, 212, 13, 693 is 1

2. Where do I get the detailed procedure to find GCD of 154, 212, 13, 693?

You can find a detailed procedure to find GCD of 154, 212, 13, 693 on our page.

3. How to find GCD of 154, 212, 13, 693 on a calculator?

You can find the GCD of 154, 212, 13, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.