GCD of 82, 665, 971, 525 Calculator

Given Input numbers are 82, 665, 971, 525

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 82, 665, 971, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 665, 971, 525 is 1.

Therefore, GCD of numbers 82, 665, 971, 525 is 1

Given Input Data is 82, 665, 971, 525

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 971 is 971

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(82, 665) = 54530

GCD(82, 665) = ( 82 x 665 ) / 54530

GCD(82, 665) = 54530 / 54530

GCD(82, 665) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 82, 665, 971, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 508, 293, 321
• GCD of 70, 896, 371, 990
• GCD of 41, 691, 160, 184
• GCD of 47, 694, 939, 427
• GCD of 41, 905, 736, 914

1. What is the GCD of 82, 665, 971, 525?

GCD of 82, 665, 971, 525 is 1

2. Where do I get the detailed procedure to find GCD of 82, 665, 971, 525?

You can find a detailed procedure to find GCD of 82, 665, 971, 525 on our page.

3. How to find GCD of 82, 665, 971, 525 on a calculator?

You can find the GCD of 82, 665, 971, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.