GCD of 69, 975, 625, 559 Calculator

Given Input numbers are 69, 975, 625, 559

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 69, 975, 625, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 975, 625, 559 is 1.

Therefore, GCD of numbers 69, 975, 625, 559 is 1

Given Input Data is 69, 975, 625, 559

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 559 is 13 x 43

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(69, 975) = 22425

GCD(69, 975) = ( 69 x 975 ) / 22425

GCD(69, 975) = 67275 / 22425

GCD(69, 975) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 625

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

LCM(3, 625) = 1875

GCD(3, 625) = ( 3 x 625 ) / 1875

GCD(3, 625) = 1875 / 1875

GCD(3, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 69, 975, 625, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 501, 177, 848
• GCD of 34, 164, 582, 153
• GCD of 65, 128, 327, 109
• GCD of 20, 255, 104, 624
• GCD of 51, 453, 877, 298

1. What is the GCD of 69, 975, 625, 559?

GCD of 69, 975, 625, 559 is 1

2. Where do I get the detailed procedure to find GCD of 69, 975, 625, 559?

You can find a detailed procedure to find GCD of 69, 975, 625, 559 on our page.

3. How to find GCD of 69, 975, 625, 559 on a calculator?

You can find the GCD of 69, 975, 625, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.