GCD of 577, 192, 61, 742 Calculator

Given Input numbers are 577, 192, 61, 742

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 61

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

1, 61

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 577, 192, 61, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 192, 61, 742 is 1.

Therefore, GCD of numbers 577, 192, 61, 742 is 1

Given Input Data is 577, 192, 61, 742

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

Prime Factorization of 577 is 577

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 61 is 61

Prime Factorization of 742 is 2 x 7 x 53

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(577, 192) = 110784

GCD(577, 192) = ( 577 x 192 ) / 110784

GCD(577, 192) = 110784 / 110784

GCD(577, 192) = 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 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 577, 192, 61, 742 is 1

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1. What is the GCD of 577, 192, 61, 742?

GCD of 577, 192, 61, 742 is 1

2. Where do I get the detailed procedure to find GCD of 577, 192, 61, 742?

You can find a detailed procedure to find GCD of 577, 192, 61, 742 on our page.

3. How to find GCD of 577, 192, 61, 742 on a calculator?

You can find the GCD of 577, 192, 61, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.