GCD of 343, 973, 81, 180 Calculator

Given Input numbers are 343, 973, 81, 180

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

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 973

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

1, 7, 139, 973

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Greatest Common Divisior

We found the divisors of 343, 973, 81, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 973, 81, 180 is 1.

Therefore, GCD of numbers 343, 973, 81, 180 is 1

Given Input Data is 343, 973, 81, 180

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 973 is 7 x 139

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

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(343, 973) = 47677

GCD(343, 973) = ( 343 x 973 ) / 47677

GCD(343, 973) = 333739 / 47677

GCD(343, 973) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 81

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

LCM(7, 81) = 567

GCD(7, 81) = ( 7 x 81 ) / 567

GCD(7, 81) = 567 / 567

GCD(7, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

GCD of 343, 973, 81, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 898, 17, 494
• GCD of 855, 213, 95, 175
• GCD of 644, 220, 27, 277
• GCD of 555, 902, 92, 194
• GCD of 944, 613, 87, 600

1. What is the GCD of 343, 973, 81, 180?

GCD of 343, 973, 81, 180 is 1

2. Where do I get the detailed procedure to find GCD of 343, 973, 81, 180?

You can find a detailed procedure to find GCD of 343, 973, 81, 180 on our page.

3. How to find GCD of 343, 973, 81, 180 on a calculator?

You can find the GCD of 343, 973, 81, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.