GCD of 538, 970, 58, 147 Calculator

Given Input numbers are 538, 970, 58, 147

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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 538, 970, 58, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 970, 58, 147 is 1.

Therefore, GCD of numbers 538, 970, 58, 147 is 1

Given Input Data is 538, 970, 58, 147

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 58 is 2 x 29

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(538, 970) = 260930

GCD(538, 970) = ( 538 x 970 ) / 260930

GCD(538, 970) = 521860 / 260930

GCD(538, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 147

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

LCM(2, 147) = 294

GCD(2, 147) = ( 2 x 147 ) / 294

GCD(2, 147) = 294 / 294

GCD(2, 147) = 1

GCD of 538, 970, 58, 147 is 1

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1. What is the GCD of 538, 970, 58, 147?

GCD of 538, 970, 58, 147 is 1

2. Where do I get the detailed procedure to find GCD of 538, 970, 58, 147?

You can find a detailed procedure to find GCD of 538, 970, 58, 147 on our page.

3. How to find GCD of 538, 970, 58, 147 on a calculator?

You can find the GCD of 538, 970, 58, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.