GCD of 496, 501, 827, 116 Calculator

Given Input numbers are 496, 501, 827, 116

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

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 496, 501, 827, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 501, 827, 116 is 1.

Therefore, GCD of numbers 496, 501, 827, 116 is 1

Given Input Data is 496, 501, 827, 116

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

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 827 is 827

Prime Factorization of 116 is 2 x 2 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(496, 501) = 248496

GCD(496, 501) = ( 496 x 501 ) / 248496

GCD(496, 501) = 248496 / 248496

GCD(496, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 496, 501, 827, 116 is 1

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1. What is the GCD of 496, 501, 827, 116?

GCD of 496, 501, 827, 116 is 1

2. Where do I get the detailed procedure to find GCD of 496, 501, 827, 116?

You can find a detailed procedure to find GCD of 496, 501, 827, 116 on our page.

3. How to find GCD of 496, 501, 827, 116 on a calculator?

You can find the GCD of 496, 501, 827, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.