GCD of 75, 589, 762, 991 Calculator

Given Input numbers are 75, 589, 762, 991

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 75, 589, 762, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 589, 762, 991 is 1.

Therefore, GCD of numbers 75, 589, 762, 991 is 1

Given Input Data is 75, 589, 762, 991

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 589 is 19 x 31

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 991 is 991

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(75, 589) = 44175

GCD(75, 589) = ( 75 x 589 ) / 44175

GCD(75, 589) = 44175 / 44175

GCD(75, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 75, 589, 762, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 660, 296, 956
• GCD of 38, 158, 681, 410
• GCD of 98, 791, 483, 388
• GCD of 90, 378, 925, 775
• GCD of 17, 261, 454, 664

1. What is the GCD of 75, 589, 762, 991?

GCD of 75, 589, 762, 991 is 1

2. Where do I get the detailed procedure to find GCD of 75, 589, 762, 991?

You can find a detailed procedure to find GCD of 75, 589, 762, 991 on our page.

3. How to find GCD of 75, 589, 762, 991 on a calculator?

You can find the GCD of 75, 589, 762, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.