GCD of 597, 159, 48, 653 Calculator

Given Input numbers are 597, 159, 48, 653

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

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 597, 159, 48, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 159, 48, 653 is 1.

Therefore, GCD of numbers 597, 159, 48, 653 is 1

Given Input Data is 597, 159, 48, 653

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

Prime Factorization of 597 is 3 x 199

Prime Factorization of 159 is 3 x 53

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 653 is 653

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(597, 159) = 31641

GCD(597, 159) = ( 597 x 159 ) / 31641

GCD(597, 159) = 94923 / 31641

GCD(597, 159) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 653

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

LCM(3, 653) = 1959

GCD(3, 653) = ( 3 x 653 ) / 1959

GCD(3, 653) = 1959 / 1959

GCD(3, 653) = 1

GCD of 597, 159, 48, 653 is 1

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1. What is the GCD of 597, 159, 48, 653?

GCD of 597, 159, 48, 653 is 1

2. Where do I get the detailed procedure to find GCD of 597, 159, 48, 653?

You can find a detailed procedure to find GCD of 597, 159, 48, 653 on our page.

3. How to find GCD of 597, 159, 48, 653 on a calculator?

You can find the GCD of 597, 159, 48, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.