GCD of 165, 747, 760, 839 Calculator

Given Input numbers are 165, 747, 760, 839

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Greatest Common Divisior

We found the divisors of 165, 747, 760, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 747, 760, 839 is 1.

Therefore, GCD of numbers 165, 747, 760, 839 is 1

Given Input Data is 165, 747, 760, 839

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 839 is 839

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(165, 747) = 41085

GCD(165, 747) = ( 165 x 747 ) / 41085

GCD(165, 747) = 123255 / 41085

GCD(165, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 760

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

LCM(3, 760) = 2280

GCD(3, 760) = ( 3 x 760 ) / 2280

GCD(3, 760) = 2280 / 2280

GCD(3, 760) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 839

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

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

GCD(1, 839) = 839 / 839

GCD(1, 839) = 1

GCD of 165, 747, 760, 839 is 1

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1. What is the GCD of 165, 747, 760, 839?

GCD of 165, 747, 760, 839 is 1

2. Where do I get the detailed procedure to find GCD of 165, 747, 760, 839?

You can find a detailed procedure to find GCD of 165, 747, 760, 839 on our page.

3. How to find GCD of 165, 747, 760, 839 on a calculator?

You can find the GCD of 165, 747, 760, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.