GCD of 693, 235, 76, 364 Calculator

Given Input numbers are 693, 235, 76, 364

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

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 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 693, 235, 76, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 235, 76, 364 is 1.

Therefore, GCD of numbers 693, 235, 76, 364 is 1

Given Input Data is 693, 235, 76, 364

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

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

Prime Factorization of 235 is 5 x 47

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 364 is 2 x 2 x 7 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(693, 235) = 162855

GCD(693, 235) = ( 693 x 235 ) / 162855

GCD(693, 235) = 162855 / 162855

GCD(693, 235) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 693, 235, 76, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 674, 73, 268
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• GCD of 834, 554, 19, 980
• GCD of 173, 722, 66, 445
• GCD of 369, 996, 52, 169

1. What is the GCD of 693, 235, 76, 364?

GCD of 693, 235, 76, 364 is 1

2. Where do I get the detailed procedure to find GCD of 693, 235, 76, 364?

You can find a detailed procedure to find GCD of 693, 235, 76, 364 on our page.

3. How to find GCD of 693, 235, 76, 364 on a calculator?

You can find the GCD of 693, 235, 76, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.