GCD of 169, 539, 960, 476 Calculator

Given Input numbers are 169, 539, 960, 476

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 169, 539, 960, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 539, 960, 476 is 1.

Therefore, GCD of numbers 169, 539, 960, 476 is 1

Given Input Data is 169, 539, 960, 476

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 476 is 2 x 2 x 7 x 17

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(169, 539) = 91091

GCD(169, 539) = ( 169 x 539 ) / 91091

GCD(169, 539) = 91091 / 91091

GCD(169, 539) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 960

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

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

GCD(1, 960) = 960 / 960

GCD(1, 960) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 169, 539, 960, 476 is 1

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1. What is the GCD of 169, 539, 960, 476?

GCD of 169, 539, 960, 476 is 1

2. Where do I get the detailed procedure to find GCD of 169, 539, 960, 476?

You can find a detailed procedure to find GCD of 169, 539, 960, 476 on our page.

3. How to find GCD of 169, 539, 960, 476 on a calculator?

You can find the GCD of 169, 539, 960, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.