GCD of 610, 774, 590, 769 Calculator

Given Input numbers are 610, 774, 590, 769

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 610, 774, 590, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 774, 590, 769 is 1.

Therefore, GCD of numbers 610, 774, 590, 769 is 1

Given Input Data is 610, 774, 590, 769

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 769 is 769

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(610, 774) = 236070

GCD(610, 774) = ( 610 x 774 ) / 236070

GCD(610, 774) = 472140 / 236070

GCD(610, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 590

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

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

GCD(2, 590) = 1180 / 590

GCD(2, 590) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 769

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

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

GCD(2, 769) = 1538 / 1538

GCD(2, 769) = 1

GCD of 610, 774, 590, 769 is 1

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1. What is the GCD of 610, 774, 590, 769?

GCD of 610, 774, 590, 769 is 1

2. Where do I get the detailed procedure to find GCD of 610, 774, 590, 769?

You can find a detailed procedure to find GCD of 610, 774, 590, 769 on our page.

3. How to find GCD of 610, 774, 590, 769 on a calculator?

You can find the GCD of 610, 774, 590, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.