GCD of 578, 846, 553, 642 Calculator

Given Input numbers are 578, 846, 553, 642

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

Divisors of 578

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

1, 2, 17, 34, 289, 578

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 553

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

1, 7, 79, 553

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 578, 846, 553, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 846, 553, 642 is 1.

Therefore, GCD of numbers 578, 846, 553, 642 is 1

Given Input Data is 578, 846, 553, 642

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 553 is 7 x 79

Prime Factorization of 642 is 2 x 3 x 107

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(578, 846) = 244494

GCD(578, 846) = ( 578 x 846 ) / 244494

GCD(578, 846) = 488988 / 244494

GCD(578, 846) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 553

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

LCM(2, 553) = 1106

GCD(2, 553) = ( 2 x 553 ) / 1106

GCD(2, 553) = 1106 / 1106

GCD(2, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 578, 846, 553, 642 is 1

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1. What is the GCD of 578, 846, 553, 642?

GCD of 578, 846, 553, 642 is 1

2. Where do I get the detailed procedure to find GCD of 578, 846, 553, 642?

You can find a detailed procedure to find GCD of 578, 846, 553, 642 on our page.

3. How to find GCD of 578, 846, 553, 642 on a calculator?

You can find the GCD of 578, 846, 553, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.