GCD of 772, 319, 690, 851 Calculator

Given Input numbers are 772, 319, 690, 851

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 319

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

1, 11, 29, 319

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 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 772, 319, 690, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 319, 690, 851 is 1.

Therefore, GCD of numbers 772, 319, 690, 851 is 1

Given Input Data is 772, 319, 690, 851

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 319 is 11 x 29

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

Prime Factorization of 851 is 23 x 37

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(772, 319) = 246268

GCD(772, 319) = ( 772 x 319 ) / 246268

GCD(772, 319) = 246268 / 246268

GCD(772, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

GCD of 772, 319, 690, 851 is 1

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1. What is the GCD of 772, 319, 690, 851?

GCD of 772, 319, 690, 851 is 1

2. Where do I get the detailed procedure to find GCD of 772, 319, 690, 851?

You can find a detailed procedure to find GCD of 772, 319, 690, 851 on our page.

3. How to find GCD of 772, 319, 690, 851 on a calculator?

You can find the GCD of 772, 319, 690, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.