GCD of 574, 172, 739, 147 Calculator

Given Input numbers are 574, 172, 739, 147

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 574, 172, 739, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 172, 739, 147 is 1.

Therefore, GCD of numbers 574, 172, 739, 147 is 1

Given Input Data is 574, 172, 739, 147

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 739 is 739

Prime Factorization of 147 is 3 x 7 x 7

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(574, 172) = 49364

GCD(574, 172) = ( 574 x 172 ) / 49364

GCD(574, 172) = 98728 / 49364

GCD(574, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 739

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

LCM(2, 739) = 1478

GCD(2, 739) = ( 2 x 739 ) / 1478

GCD(2, 739) = 1478 / 1478

GCD(2, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 574, 172, 739, 147 is 1

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1. What is the GCD of 574, 172, 739, 147?

GCD of 574, 172, 739, 147 is 1

2. Where do I get the detailed procedure to find GCD of 574, 172, 739, 147?

You can find a detailed procedure to find GCD of 574, 172, 739, 147 on our page.

3. How to find GCD of 574, 172, 739, 147 on a calculator?

You can find the GCD of 574, 172, 739, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.