GCD of 998, 582, 770, 965 Calculator

Given Input numbers are 998, 582, 770, 965

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 998, 582, 770, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 582, 770, 965 is 1.

Therefore, GCD of numbers 998, 582, 770, 965 is 1

Given Input Data is 998, 582, 770, 965

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 965 is 5 x 193

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(998, 582) = 290418

GCD(998, 582) = ( 998 x 582 ) / 290418

GCD(998, 582) = 580836 / 290418

GCD(998, 582) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 965

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

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

GCD(2, 965) = 1930 / 1930

GCD(2, 965) = 1

GCD of 998, 582, 770, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 512, 838, 336
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• GCD of 110, 523, 996, 624

1. What is the GCD of 998, 582, 770, 965?

GCD of 998, 582, 770, 965 is 1

2. Where do I get the detailed procedure to find GCD of 998, 582, 770, 965?

You can find a detailed procedure to find GCD of 998, 582, 770, 965 on our page.

3. How to find GCD of 998, 582, 770, 965 on a calculator?

You can find the GCD of 998, 582, 770, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.