GCD of 693, 119, 75, 390 Calculator

Given Input numbers are 693, 119, 75, 390

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Greatest Common Divisior

We found the divisors of 693, 119, 75, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 119, 75, 390 is 1.

Therefore, GCD of numbers 693, 119, 75, 390 is 1

Given Input Data is 693, 119, 75, 390

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 119 is 7 x 17

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 390 is 2 x 3 x 5 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, 119) = 11781

GCD(693, 119) = ( 693 x 119 ) / 11781

GCD(693, 119) = 82467 / 11781

GCD(693, 119) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 75

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

LCM(7, 75) = 525

GCD(7, 75) = ( 7 x 75 ) / 525

GCD(7, 75) = 525 / 525

GCD(7, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

GCD of 693, 119, 75, 390 is 1

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• GCD of 769, 859, 98, 649
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1. What is the GCD of 693, 119, 75, 390?

GCD of 693, 119, 75, 390 is 1

2. Where do I get the detailed procedure to find GCD of 693, 119, 75, 390?

You can find a detailed procedure to find GCD of 693, 119, 75, 390 on our page.

3. How to find GCD of 693, 119, 75, 390 on a calculator?

You can find the GCD of 693, 119, 75, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.