GCD of 771, 690, 759, 860 Calculator

Given Input numbers are 771, 690, 759, 860

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

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 771, 690, 759, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 690, 759, 860 is 1.

Therefore, GCD of numbers 771, 690, 759, 860 is 1

Given Input Data is 771, 690, 759, 860

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

Prime Factorization of 771 is 3 x 257

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 860 is 2 x 2 x 5 x 43

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(771, 690) = 177330

GCD(771, 690) = ( 771 x 690 ) / 177330

GCD(771, 690) = 531990 / 177330

GCD(771, 690) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 759

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

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

GCD(3, 759) = 2277 / 759

GCD(3, 759) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 860

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

LCM(3, 860) = 2580

GCD(3, 860) = ( 3 x 860 ) / 2580

GCD(3, 860) = 2580 / 2580

GCD(3, 860) = 1

GCD of 771, 690, 759, 860 is 1

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1. What is the GCD of 771, 690, 759, 860?

GCD of 771, 690, 759, 860 is 1

2. Where do I get the detailed procedure to find GCD of 771, 690, 759, 860?

You can find a detailed procedure to find GCD of 771, 690, 759, 860 on our page.

3. How to find GCD of 771, 690, 759, 860 on a calculator?

You can find the GCD of 771, 690, 759, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.