GCD of 168, 917, 480, 782 Calculator

Given Input numbers are 168, 917, 480, 782

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 168, 917, 480, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 917, 480, 782 is 1.

Therefore, GCD of numbers 168, 917, 480, 782 is 1

Given Input Data is 168, 917, 480, 782

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 917 is 7 x 131

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 782 is 2 x 17 x 23

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(168, 917) = 22008

GCD(168, 917) = ( 168 x 917 ) / 22008

GCD(168, 917) = 154056 / 22008

GCD(168, 917) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 480

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

LCM(7, 480) = 3360

GCD(7, 480) = ( 7 x 480 ) / 3360

GCD(7, 480) = 3360 / 3360

GCD(7, 480) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 168, 917, 480, 782 is 1

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1. What is the GCD of 168, 917, 480, 782?

GCD of 168, 917, 480, 782 is 1

2. Where do I get the detailed procedure to find GCD of 168, 917, 480, 782?

You can find a detailed procedure to find GCD of 168, 917, 480, 782 on our page.

3. How to find GCD of 168, 917, 480, 782 on a calculator?

You can find the GCD of 168, 917, 480, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.