GCD of 783, 135, 600, 961 Calculator

Given Input numbers are 783, 135, 600, 961

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

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 783, 135, 600, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 135, 600, 961 is 1.

Therefore, GCD of numbers 783, 135, 600, 961 is 1

Given Input Data is 783, 135, 600, 961

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

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 961 is 31 x 31

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(783, 135) = 3915

GCD(783, 135) = ( 783 x 135 ) / 3915

GCD(783, 135) = 105705 / 3915

GCD(783, 135) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 600

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

LCM(27, 600) = 5400

GCD(27, 600) = ( 27 x 600 ) / 5400

GCD(27, 600) = 16200 / 5400

GCD(27, 600) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 961

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

LCM(3, 961) = 2883

GCD(3, 961) = ( 3 x 961 ) / 2883

GCD(3, 961) = 2883 / 2883

GCD(3, 961) = 1

GCD of 783, 135, 600, 961 is 1

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1. What is the GCD of 783, 135, 600, 961?

GCD of 783, 135, 600, 961 is 1

2. Where do I get the detailed procedure to find GCD of 783, 135, 600, 961?

You can find a detailed procedure to find GCD of 783, 135, 600, 961 on our page.

3. How to find GCD of 783, 135, 600, 961 on a calculator?

You can find the GCD of 783, 135, 600, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.