GCD of 28, 538, 169, 765 Calculator

Given Input numbers are 28, 538, 169, 765

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 169

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

1, 13, 169

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 28, 538, 169, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 538, 169, 765 is 1.

Therefore, GCD of numbers 28, 538, 169, 765 is 1

Given Input Data is 28, 538, 169, 765

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 538 is 2 x 269

Prime Factorization of 169 is 13 x 13

Prime Factorization of 765 is 3 x 3 x 5 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(28, 538) = 7532

GCD(28, 538) = ( 28 x 538 ) / 7532

GCD(28, 538) = 15064 / 7532

GCD(28, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 28, 538, 169, 765 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 198, 345, 969
• GCD of 20, 371, 747, 895
• GCD of 95, 650, 361, 716
• GCD of 51, 678, 106, 329
• GCD of 72, 151, 344, 987

1. What is the GCD of 28, 538, 169, 765?

GCD of 28, 538, 169, 765 is 1

2. Where do I get the detailed procedure to find GCD of 28, 538, 169, 765?

You can find a detailed procedure to find GCD of 28, 538, 169, 765 on our page.

3. How to find GCD of 28, 538, 169, 765 on a calculator?

You can find the GCD of 28, 538, 169, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.