GCD of 766, 171, 785, 564 Calculator

Given Input numbers are 766, 171, 785, 564

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 766, 171, 785, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 171, 785, 564 is 1.

Therefore, GCD of numbers 766, 171, 785, 564 is 1

Given Input Data is 766, 171, 785, 564

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

Prime Factorization of 766 is 2 x 383

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 785 is 5 x 157

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(766, 171) = 130986

GCD(766, 171) = ( 766 x 171 ) / 130986

GCD(766, 171) = 130986 / 130986

GCD(766, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 766, 171, 785, 564 is 1

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1. What is the GCD of 766, 171, 785, 564?

GCD of 766, 171, 785, 564 is 1

2. Where do I get the detailed procedure to find GCD of 766, 171, 785, 564?

You can find a detailed procedure to find GCD of 766, 171, 785, 564 on our page.

3. How to find GCD of 766, 171, 785, 564 on a calculator?

You can find the GCD of 766, 171, 785, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.