GCD of 142, 545, 29, 578 Calculator

Given Input numbers are 142, 545, 29, 578

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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 142, 545, 29, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 545, 29, 578 is 1.

Therefore, GCD of numbers 142, 545, 29, 578 is 1

Given Input Data is 142, 545, 29, 578

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 545 is 5 x 109

Prime Factorization of 29 is 29

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(142, 545) = 77390

GCD(142, 545) = ( 142 x 545 ) / 77390

GCD(142, 545) = 77390 / 77390

GCD(142, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 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 142, 545, 29, 578 is 1

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1. What is the GCD of 142, 545, 29, 578?

GCD of 142, 545, 29, 578 is 1

2. Where do I get the detailed procedure to find GCD of 142, 545, 29, 578?

You can find a detailed procedure to find GCD of 142, 545, 29, 578 on our page.

3. How to find GCD of 142, 545, 29, 578 on a calculator?

You can find the GCD of 142, 545, 29, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.