GCD of 471, 100, 657, 720 Calculator

Given Input numbers are 471, 100, 657, 720

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

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 657

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

1, 3, 9, 73, 219, 657

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 471, 100, 657, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 100, 657, 720 is 1.

Therefore, GCD of numbers 471, 100, 657, 720 is 1

Given Input Data is 471, 100, 657, 720

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 657 is 3 x 3 x 73

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(471, 100) = 47100

GCD(471, 100) = ( 471 x 100 ) / 47100

GCD(471, 100) = 47100 / 47100

GCD(471, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 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 471, 100, 657, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 836, 398, 694
• GCD of 360, 138, 946, 181
• GCD of 665, 228, 445, 825
• GCD of 316, 868, 824, 104
• GCD of 890, 137, 159, 105

1. What is the GCD of 471, 100, 657, 720?

GCD of 471, 100, 657, 720 is 1

2. Where do I get the detailed procedure to find GCD of 471, 100, 657, 720?

You can find a detailed procedure to find GCD of 471, 100, 657, 720 on our page.

3. How to find GCD of 471, 100, 657, 720 on a calculator?

You can find the GCD of 471, 100, 657, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.