GCD of 160, 783, 255, 986 Calculator

Given Input numbers are 160, 783, 255, 986

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

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 160, 783, 255, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 783, 255, 986 is 1.

Therefore, GCD of numbers 160, 783, 255, 986 is 1

Given Input Data is 160, 783, 255, 986

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

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 986 is 2 x 17 x 29

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(160, 783) = 125280

GCD(160, 783) = ( 160 x 783 ) / 125280

GCD(160, 783) = 125280 / 125280

GCD(160, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 160, 783, 255, 986 is 1

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1. What is the GCD of 160, 783, 255, 986?

GCD of 160, 783, 255, 986 is 1

2. Where do I get the detailed procedure to find GCD of 160, 783, 255, 986?

You can find a detailed procedure to find GCD of 160, 783, 255, 986 on our page.

3. How to find GCD of 160, 783, 255, 986 on a calculator?

You can find the GCD of 160, 783, 255, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.