GCD of 657, 158, 13, 301 Calculator

Given Input numbers are 657, 158, 13, 301

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 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 657, 158, 13, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 158, 13, 301 is 1.

Therefore, GCD of numbers 657, 158, 13, 301 is 1

Given Input Data is 657, 158, 13, 301

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 158 is 2 x 79

Prime Factorization of 13 is 13

Prime Factorization of 301 is 7 x 43

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, 158) = 103806

GCD(657, 158) = ( 657 x 158 ) / 103806

GCD(657, 158) = 103806 / 103806

GCD(657, 158) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 657, 158, 13, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 134, 269, 97, 828
• GCD of 137, 868, 41, 466
• GCD of 350, 637, 86, 232
• GCD of 817, 890, 70, 362
• GCD of 214, 794, 60, 147

1. What is the GCD of 657, 158, 13, 301?

GCD of 657, 158, 13, 301 is 1

2. Where do I get the detailed procedure to find GCD of 657, 158, 13, 301?

You can find a detailed procedure to find GCD of 657, 158, 13, 301 on our page.

3. How to find GCD of 657, 158, 13, 301 on a calculator?

You can find the GCD of 657, 158, 13, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.