GCD of 117, 657, 603, 704 Calculator

Given Input numbers are 117, 657, 603, 704

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 117, 657, 603, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 657, 603, 704 is 1.

Therefore, GCD of numbers 117, 657, 603, 704 is 1

Given Input Data is 117, 657, 603, 704

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(117, 657) = 8541

GCD(117, 657) = ( 117 x 657 ) / 8541

GCD(117, 657) = 76869 / 8541

GCD(117, 657) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 603

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

LCM(9, 603) = 603

GCD(9, 603) = ( 9 x 603 ) / 603

GCD(9, 603) = 5427 / 603

GCD(9, 603) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 704

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

LCM(9, 704) = 6336

GCD(9, 704) = ( 9 x 704 ) / 6336

GCD(9, 704) = 6336 / 6336

GCD(9, 704) = 1

GCD of 117, 657, 603, 704 is 1

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1. What is the GCD of 117, 657, 603, 704?

GCD of 117, 657, 603, 704 is 1

2. Where do I get the detailed procedure to find GCD of 117, 657, 603, 704?

You can find a detailed procedure to find GCD of 117, 657, 603, 704 on our page.

3. How to find GCD of 117, 657, 603, 704 on a calculator?

You can find the GCD of 117, 657, 603, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.