GCD of 506, 625, 75, 118 Calculator

Given Input numbers are 506, 625, 75, 118

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 625

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

1, 5, 25, 125, 625

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 506, 625, 75, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 625, 75, 118 is 1.

Therefore, GCD of numbers 506, 625, 75, 118 is 1

Given Input Data is 506, 625, 75, 118

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

Prime Factorization of 506 is 2 x 11 x 23

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 118 is 2 x 59

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(506, 625) = 316250

GCD(506, 625) = ( 506 x 625 ) / 316250

GCD(506, 625) = 316250 / 316250

GCD(506, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 506, 625, 75, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 506, 57, 567
• GCD of 796, 190, 28, 217
• GCD of 377, 486, 84, 157
• GCD of 374, 495, 93, 588
• GCD of 147, 930, 31, 104

1. What is the GCD of 506, 625, 75, 118?

GCD of 506, 625, 75, 118 is 1

2. Where do I get the detailed procedure to find GCD of 506, 625, 75, 118?

You can find a detailed procedure to find GCD of 506, 625, 75, 118 on our page.

3. How to find GCD of 506, 625, 75, 118 on a calculator?

You can find the GCD of 506, 625, 75, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.