GCD of 735, 518, 125, 186 Calculator

Given Input numbers are 735, 518, 125, 186

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 735, 518, 125, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 518, 125, 186 is 1.

Therefore, GCD of numbers 735, 518, 125, 186 is 1

Given Input Data is 735, 518, 125, 186

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 186 is 2 x 3 x 31

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(735, 518) = 54390

GCD(735, 518) = ( 735 x 518 ) / 54390

GCD(735, 518) = 380730 / 54390

GCD(735, 518) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 125

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

LCM(7, 125) = 875

GCD(7, 125) = ( 7 x 125 ) / 875

GCD(7, 125) = 875 / 875

GCD(7, 125) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

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

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

GCD of 735, 518, 125, 186 is 1

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1. What is the GCD of 735, 518, 125, 186?

GCD of 735, 518, 125, 186 is 1

2. Where do I get the detailed procedure to find GCD of 735, 518, 125, 186?

You can find a detailed procedure to find GCD of 735, 518, 125, 186 on our page.

3. How to find GCD of 735, 518, 125, 186 on a calculator?

You can find the GCD of 735, 518, 125, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.