GCD of 553, 863, 82, 748 Calculator

Given Input numbers are 553, 863, 82, 748

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Divisors of 82

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

1, 2, 41, 82

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 553, 863, 82, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 863, 82, 748 is 1.

Therefore, GCD of numbers 553, 863, 82, 748 is 1

Given Input Data is 553, 863, 82, 748

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 863 is 863

Prime Factorization of 82 is 2 x 41

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(553, 863) = 477239

GCD(553, 863) = ( 553 x 863 ) / 477239

GCD(553, 863) = 477239 / 477239

GCD(553, 863) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 553, 863, 82, 748 is 1

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1. What is the GCD of 553, 863, 82, 748?

GCD of 553, 863, 82, 748 is 1

2. Where do I get the detailed procedure to find GCD of 553, 863, 82, 748?

You can find a detailed procedure to find GCD of 553, 863, 82, 748 on our page.

3. How to find GCD of 553, 863, 82, 748 on a calculator?

You can find the GCD of 553, 863, 82, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.