GCD of 821, 491, 112, 716 Calculator

Given Input numbers are 821, 491, 112, 716

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 716

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

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 821, 491, 112, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 491, 112, 716 is 1.

Therefore, GCD of numbers 821, 491, 112, 716 is 1

Given Input Data is 821, 491, 112, 716

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

Prime Factorization of 821 is 821

Prime Factorization of 491 is 491

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 716 is 2 x 2 x 179

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(821, 491) = 403111

GCD(821, 491) = ( 821 x 491 ) / 403111

GCD(821, 491) = 403111 / 403111

GCD(821, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

Step3:

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

GCD of 821, 491, 112, 716 is 1

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1. What is the GCD of 821, 491, 112, 716?

GCD of 821, 491, 112, 716 is 1

2. Where do I get the detailed procedure to find GCD of 821, 491, 112, 716?

You can find a detailed procedure to find GCD of 821, 491, 112, 716 on our page.

3. How to find GCD of 821, 491, 112, 716 on a calculator?

You can find the GCD of 821, 491, 112, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.