GCD of 69, 157, 300, 329 Calculator

Given Input numbers are 69, 157, 300, 329

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 69, 157, 300, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 157, 300, 329 is 1.

Therefore, GCD of numbers 69, 157, 300, 329 is 1

Given Input Data is 69, 157, 300, 329

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 157 is 157

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 329 is 7 x 47

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(69, 157) = 10833

GCD(69, 157) = ( 69 x 157 ) / 10833

GCD(69, 157) = 10833 / 10833

GCD(69, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 69, 157, 300, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 70, 192, 305, 273
• GCD of 19, 668, 150, 680
• GCD of 92, 704, 149, 538
• GCD of 25, 444, 945, 214
• GCD of 54, 180, 110, 812

1. What is the GCD of 69, 157, 300, 329?

GCD of 69, 157, 300, 329 is 1

2. Where do I get the detailed procedure to find GCD of 69, 157, 300, 329?

You can find a detailed procedure to find GCD of 69, 157, 300, 329 on our page.

3. How to find GCD of 69, 157, 300, 329 on a calculator?

You can find the GCD of 69, 157, 300, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.