GCD of 83, 496, 561, 527 Calculator

Given Input numbers are 83, 496, 561, 527

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 527

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

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 83, 496, 561, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 496, 561, 527 is 1.

Therefore, GCD of numbers 83, 496, 561, 527 is 1

Given Input Data is 83, 496, 561, 527

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

Prime Factorization of 83 is 83

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 527 is 17 x 31

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(83, 496) = 41168

GCD(83, 496) = ( 83 x 496 ) / 41168

GCD(83, 496) = 41168 / 41168

GCD(83, 496) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 83, 496, 561, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 761, 776, 755
• GCD of 99, 277, 781, 507
• GCD of 41, 112, 146, 541
• GCD of 91, 749, 888, 528
• GCD of 20, 874, 248, 453

1. What is the GCD of 83, 496, 561, 527?

GCD of 83, 496, 561, 527 is 1

2. Where do I get the detailed procedure to find GCD of 83, 496, 561, 527?

You can find a detailed procedure to find GCD of 83, 496, 561, 527 on our page.

3. How to find GCD of 83, 496, 561, 527 on a calculator?

You can find the GCD of 83, 496, 561, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.