GCD of 527, 507, 716, 982 Calculator

Given Input numbers are 527, 507, 716, 982

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 527, 507, 716, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 507, 716, 982 is 1.

Therefore, GCD of numbers 527, 507, 716, 982 is 1

Given Input Data is 527, 507, 716, 982

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 982 is 2 x 491

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(527, 507) = 267189

GCD(527, 507) = ( 527 x 507 ) / 267189

GCD(527, 507) = 267189 / 267189

GCD(527, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 527, 507, 716, 982 is 1

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1. What is the GCD of 527, 507, 716, 982?

GCD of 527, 507, 716, 982 is 1

2. Where do I get the detailed procedure to find GCD of 527, 507, 716, 982?

You can find a detailed procedure to find GCD of 527, 507, 716, 982 on our page.

3. How to find GCD of 527, 507, 716, 982 on a calculator?

You can find the GCD of 527, 507, 716, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.