GCD of 113, 842, 61, 578 Calculator

Given Input numbers are 113, 842, 61, 578

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 113, 842, 61, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 842, 61, 578 is 1.

Therefore, GCD of numbers 113, 842, 61, 578 is 1

Given Input Data is 113, 842, 61, 578

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

Prime Factorization of 113 is 113

Prime Factorization of 842 is 2 x 421

Prime Factorization of 61 is 61

Prime Factorization of 578 is 2 x 17 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(113, 842) = 95146

GCD(113, 842) = ( 113 x 842 ) / 95146

GCD(113, 842) = 95146 / 95146

GCD(113, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 113, 842, 61, 578 is 1

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1. What is the GCD of 113, 842, 61, 578?

GCD of 113, 842, 61, 578 is 1

2. Where do I get the detailed procedure to find GCD of 113, 842, 61, 578?

You can find a detailed procedure to find GCD of 113, 842, 61, 578 on our page.

3. How to find GCD of 113, 842, 61, 578 on a calculator?

You can find the GCD of 113, 842, 61, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.