GCD of 560, 132, 417 Calculator

Given Input numbers are 560, 132, 417

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 560, 132, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 132, 417 is 1.

Therefore, GCD of numbers 560, 132, 417 is 1

Given Input Data is 560, 132, 417

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 417 is 3 x 139

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(560, 132) = 18480

GCD(560, 132) = ( 560 x 132 ) / 18480

GCD(560, 132) = 73920 / 18480

GCD(560, 132) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 417

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

LCM(4, 417) = 1668

GCD(4, 417) = ( 4 x 417 ) / 1668

GCD(4, 417) = 1668 / 1668

GCD(4, 417) = 1

GCD of 560, 132, 417 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 203, 143
• GCD of 415, 990, 185
• GCD of 333, 759, 825
• GCD of 166, 908, 263
• GCD of 787, 266, 737

1. What is the GCD of 560, 132, 417?

GCD of 560, 132, 417 is 1

2. Where do I get the detailed procedure to find GCD of 560, 132, 417?

You can find a detailed procedure to find GCD of 560, 132, 417 on our page.

3. How to find GCD of 560, 132, 417 on a calculator?

You can find the GCD of 560, 132, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.