GCD of 831, 890, 75, 667 Calculator

Given Input numbers are 831, 890, 75, 667

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

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 831, 890, 75, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 890, 75, 667 is 1.

Therefore, GCD of numbers 831, 890, 75, 667 is 1

Given Input Data is 831, 890, 75, 667

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 667 is 23 x 29

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(831, 890) = 739590

GCD(831, 890) = ( 831 x 890 ) / 739590

GCD(831, 890) = 739590 / 739590

GCD(831, 890) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 831, 890, 75, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 497, 71, 119
• GCD of 979, 287, 67, 414
• GCD of 803, 409, 85, 497
• GCD of 283, 554, 47, 452
• GCD of 726, 649, 15, 785

1. What is the GCD of 831, 890, 75, 667?

GCD of 831, 890, 75, 667 is 1

2. Where do I get the detailed procedure to find GCD of 831, 890, 75, 667?

You can find a detailed procedure to find GCD of 831, 890, 75, 667 on our page.

3. How to find GCD of 831, 890, 75, 667 on a calculator?

You can find the GCD of 831, 890, 75, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.