GCD of 973, 308, 64, 657 Calculator

Given Input numbers are 973, 308, 64, 657

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 657

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

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 973, 308, 64, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 308, 64, 657 is 1.

Therefore, GCD of numbers 973, 308, 64, 657 is 1

Given Input Data is 973, 308, 64, 657

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 657 is 3 x 3 x 73

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(973, 308) = 42812

GCD(973, 308) = ( 973 x 308 ) / 42812

GCD(973, 308) = 299684 / 42812

GCD(973, 308) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 64

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

LCM(7, 64) = 448

GCD(7, 64) = ( 7 x 64 ) / 448

GCD(7, 64) = 448 / 448

GCD(7, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 973, 308, 64, 657 is 1

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1. What is the GCD of 973, 308, 64, 657?

GCD of 973, 308, 64, 657 is 1

2. Where do I get the detailed procedure to find GCD of 973, 308, 64, 657?

You can find a detailed procedure to find GCD of 973, 308, 64, 657 on our page.

3. How to find GCD of 973, 308, 64, 657 on a calculator?

You can find the GCD of 973, 308, 64, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.