GCD of 165, 807, 925, 518 Calculator

Given Input numbers are 165, 807, 925, 518

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 165, 807, 925, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 807, 925, 518 is 1.

Therefore, GCD of numbers 165, 807, 925, 518 is 1

Given Input Data is 165, 807, 925, 518

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 807 is 3 x 269

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 518 is 2 x 7 x 37

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, 807) = 44385

GCD(165, 807) = ( 165 x 807 ) / 44385

GCD(165, 807) = 133155 / 44385

GCD(165, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 925

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

LCM(3, 925) = 2775

GCD(3, 925) = ( 3 x 925 ) / 2775

GCD(3, 925) = 2775 / 2775

GCD(3, 925) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 165, 807, 925, 518 is 1

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1. What is the GCD of 165, 807, 925, 518?

GCD of 165, 807, 925, 518 is 1

2. Where do I get the detailed procedure to find GCD of 165, 807, 925, 518?

You can find a detailed procedure to find GCD of 165, 807, 925, 518 on our page.

3. How to find GCD of 165, 807, 925, 518 on a calculator?

You can find the GCD of 165, 807, 925, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.