GCD of 772, 698, 889, 613 Calculator

Given Input numbers are 772, 698, 889, 613

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 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 772, 698, 889, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 698, 889, 613 is 1.

Therefore, GCD of numbers 772, 698, 889, 613 is 1

Given Input Data is 772, 698, 889, 613

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 698 is 2 x 349

Prime Factorization of 889 is 7 x 127

Prime Factorization of 613 is 613

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, 698) = 269428

GCD(772, 698) = ( 772 x 698 ) / 269428

GCD(772, 698) = 538856 / 269428

GCD(772, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 889

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

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

GCD(2, 889) = 1778 / 1778

GCD(2, 889) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 772, 698, 889, 613 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 549, 956, 209
• GCD of 482, 251, 100, 436
• GCD of 481, 160, 488, 325
• GCD of 889, 518, 821, 678
• GCD of 216, 860, 752, 898

1. What is the GCD of 772, 698, 889, 613?

GCD of 772, 698, 889, 613 is 1

2. Where do I get the detailed procedure to find GCD of 772, 698, 889, 613?

You can find a detailed procedure to find GCD of 772, 698, 889, 613 on our page.

3. How to find GCD of 772, 698, 889, 613 on a calculator?

You can find the GCD of 772, 698, 889, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.