GCD of 71, 171, 177, 720 Calculator

Given Input numbers are 71, 171, 177, 720

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 71, 171, 177, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 171, 177, 720 is 1.

Therefore, GCD of numbers 71, 171, 177, 720 is 1

Given Input Data is 71, 171, 177, 720

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

Prime Factorization of 71 is 71

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 177 is 3 x 59

Prime Factorization of 720 is 2 x 2 x 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(71, 171) = 12141

GCD(71, 171) = ( 71 x 171 ) / 12141

GCD(71, 171) = 12141 / 12141

GCD(71, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 71, 171, 177, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 42, 927, 828, 454
• GCD of 63, 973, 621, 337
• GCD of 49, 347, 279, 670
• GCD of 66, 103, 435, 451
• GCD of 94, 151, 972, 649

1. What is the GCD of 71, 171, 177, 720?

GCD of 71, 171, 177, 720 is 1

2. Where do I get the detailed procedure to find GCD of 71, 171, 177, 720?

You can find a detailed procedure to find GCD of 71, 171, 177, 720 on our page.

3. How to find GCD of 71, 171, 177, 720 on a calculator?

You can find the GCD of 71, 171, 177, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.