GCD of 60, 717, 280, 471 Calculator

Given Input numbers are 60, 717, 280, 471

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 471

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

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 60, 717, 280, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 717, 280, 471 is 1.

Therefore, GCD of numbers 60, 717, 280, 471 is 1

Given Input Data is 60, 717, 280, 471

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 717 is 3 x 239

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 471 is 3 x 157

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(60, 717) = 14340

GCD(60, 717) = ( 60 x 717 ) / 14340

GCD(60, 717) = 43020 / 14340

GCD(60, 717) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 280

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

LCM(3, 280) = 840

GCD(3, 280) = ( 3 x 280 ) / 840

GCD(3, 280) = 840 / 840

GCD(3, 280) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 60, 717, 280, 471 is 1

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• GCD of 31, 143, 378, 432
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1. What is the GCD of 60, 717, 280, 471?

GCD of 60, 717, 280, 471 is 1

2. Where do I get the detailed procedure to find GCD of 60, 717, 280, 471?

You can find a detailed procedure to find GCD of 60, 717, 280, 471 on our page.

3. How to find GCD of 60, 717, 280, 471 on a calculator?

You can find the GCD of 60, 717, 280, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.