GCD of 148, 728, 657, 545 Calculator

Given Input numbers are 148, 728, 657, 545

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 545

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

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 148, 728, 657, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 728, 657, 545 is 1.

Therefore, GCD of numbers 148, 728, 657, 545 is 1

Given Input Data is 148, 728, 657, 545

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 545 is 5 x 109

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(148, 728) = 26936

GCD(148, 728) = ( 148 x 728 ) / 26936

GCD(148, 728) = 107744 / 26936

GCD(148, 728) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 657

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

LCM(4, 657) = 2628

GCD(4, 657) = ( 4 x 657 ) / 2628

GCD(4, 657) = 2628 / 2628

GCD(4, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 148, 728, 657, 545 is 1

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1. What is the GCD of 148, 728, 657, 545?

GCD of 148, 728, 657, 545 is 1

2. Where do I get the detailed procedure to find GCD of 148, 728, 657, 545?

You can find a detailed procedure to find GCD of 148, 728, 657, 545 on our page.

3. How to find GCD of 148, 728, 657, 545 on a calculator?

You can find the GCD of 148, 728, 657, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.