GCD of 657, 718, 74, 322 Calculator

Given Input numbers are 657, 718, 74, 322

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

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 657, 718, 74, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 718, 74, 322 is 1.

Therefore, GCD of numbers 657, 718, 74, 322 is 1

Given Input Data is 657, 718, 74, 322

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 718 is 2 x 359

Prime Factorization of 74 is 2 x 37

Prime Factorization of 322 is 2 x 7 x 23

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(657, 718) = 471726

GCD(657, 718) = ( 657 x 718 ) / 471726

GCD(657, 718) = 471726 / 471726

GCD(657, 718) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 657, 718, 74, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 771, 10, 519
• GCD of 786, 766, 50, 226
• GCD of 355, 198, 29, 822
• GCD of 359, 685, 13, 253
• GCD of 927, 735, 80, 701

1. What is the GCD of 657, 718, 74, 322?

GCD of 657, 718, 74, 322 is 1

2. Where do I get the detailed procedure to find GCD of 657, 718, 74, 322?

You can find a detailed procedure to find GCD of 657, 718, 74, 322 on our page.

3. How to find GCD of 657, 718, 74, 322 on a calculator?

You can find the GCD of 657, 718, 74, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.