GCD of 690, 775, 399, 319 Calculator

Given Input numbers are 690, 775, 399, 319

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

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 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 690, 775, 399, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 775, 399, 319 is 1.

Therefore, GCD of numbers 690, 775, 399, 319 is 1

Given Input Data is 690, 775, 399, 319

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

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 319 is 11 x 29

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(690, 775) = 106950

GCD(690, 775) = ( 690 x 775 ) / 106950

GCD(690, 775) = 534750 / 106950

GCD(690, 775) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 399

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

LCM(5, 399) = 1995

GCD(5, 399) = ( 5 x 399 ) / 1995

GCD(5, 399) = 1995 / 1995

GCD(5, 399) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 690, 775, 399, 319 is 1

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• GCD of 343, 162, 560, 847
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1. What is the GCD of 690, 775, 399, 319?

GCD of 690, 775, 399, 319 is 1

2. Where do I get the detailed procedure to find GCD of 690, 775, 399, 319?

You can find a detailed procedure to find GCD of 690, 775, 399, 319 on our page.

3. How to find GCD of 690, 775, 399, 319 on a calculator?

You can find the GCD of 690, 775, 399, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.