GCD of 114, 539, 620, 169 Calculator

Given Input numbers are 114, 539, 620, 169

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 539

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

1, 7, 11, 49, 77, 539

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 169

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

1, 13, 169

Greatest Common Divisior

We found the divisors of 114, 539, 620, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 539, 620, 169 is 1.

Therefore, GCD of numbers 114, 539, 620, 169 is 1

Given Input Data is 114, 539, 620, 169

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 169 is 13 x 13

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(114, 539) = 61446

GCD(114, 539) = ( 114 x 539 ) / 61446

GCD(114, 539) = 61446 / 61446

GCD(114, 539) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 620

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

LCM(1, 620) = 620

GCD(1, 620) = ( 1 x 620 ) / 620

GCD(1, 620) = 620 / 620

GCD(1, 620) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 114, 539, 620, 169 is 1

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1. What is the GCD of 114, 539, 620, 169?

GCD of 114, 539, 620, 169 is 1

2. Where do I get the detailed procedure to find GCD of 114, 539, 620, 169?

You can find a detailed procedure to find GCD of 114, 539, 620, 169 on our page.

3. How to find GCD of 114, 539, 620, 169 on a calculator?

You can find the GCD of 114, 539, 620, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.