GCD of 742, 458, 578, 861 Calculator

Given Input numbers are 742, 458, 578, 861

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

Divisors of 742

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

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

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 742, 458, 578, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 458, 578, 861 is 1.

Therefore, GCD of numbers 742, 458, 578, 861 is 1

Given Input Data is 742, 458, 578, 861

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 458 is 2 x 229

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 861 is 3 x 7 x 41

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(742, 458) = 169918

GCD(742, 458) = ( 742 x 458 ) / 169918

GCD(742, 458) = 339836 / 169918

GCD(742, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 578

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

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

GCD(2, 578) = 1156 / 578

GCD(2, 578) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 861

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

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

GCD(2, 861) = 1722 / 1722

GCD(2, 861) = 1

GCD of 742, 458, 578, 861 is 1

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1. What is the GCD of 742, 458, 578, 861?

GCD of 742, 458, 578, 861 is 1

2. Where do I get the detailed procedure to find GCD of 742, 458, 578, 861?

You can find a detailed procedure to find GCD of 742, 458, 578, 861 on our page.

3. How to find GCD of 742, 458, 578, 861 on a calculator?

You can find the GCD of 742, 458, 578, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.