GCD of 783, 885, 60, 477 Calculator

Given Input numbers are 783, 885, 60, 477

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 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

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 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 783, 885, 60, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 783, 885, 60, 477 is 3.

Therefore, GCD of numbers 783, 885, 60, 477 is 3

Given Input Data is 783, 885, 60, 477

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 885 is 3 x 5 x 59

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

Prime Factorization of 477 is 3 x 3 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 885) = 230985

GCD(783, 885) = ( 783 x 885 ) / 230985

GCD(783, 885) = 692955 / 230985

GCD(783, 885) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 477

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

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

GCD(3, 477) = 1431 / 477

GCD(3, 477) = 3

GCD of 783, 885, 60, 477 is 3

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• GCD of 265, 361, 56, 614
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• GCD of 820, 283, 58, 165

1. What is the GCD of 783, 885, 60, 477?

GCD of 783, 885, 60, 477 is 3

2. Where do I get the detailed procedure to find GCD of 783, 885, 60, 477?

You can find a detailed procedure to find GCD of 783, 885, 60, 477 on our page.

3. How to find GCD of 783, 885, 60, 477 on a calculator?

You can find the GCD of 783, 885, 60, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.