GCD of 49, 186, 675, 363 Calculator

Given Input numbers are 49, 186, 675, 363

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 186

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

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 49, 186, 675, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 186, 675, 363 is 1.

Therefore, GCD of numbers 49, 186, 675, 363 is 1

Given Input Data is 49, 186, 675, 363

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 363 is 3 x 11 x 11

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(49, 186) = 9114

GCD(49, 186) = ( 49 x 186 ) / 9114

GCD(49, 186) = 9114 / 9114

GCD(49, 186) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 49, 186, 675, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 989, 919, 748
• GCD of 86, 155, 750, 993
• GCD of 47, 119, 930, 441
• GCD of 46, 347, 434, 493
• GCD of 67, 334, 832, 814

1. What is the GCD of 49, 186, 675, 363?

GCD of 49, 186, 675, 363 is 1

2. Where do I get the detailed procedure to find GCD of 49, 186, 675, 363?

You can find a detailed procedure to find GCD of 49, 186, 675, 363 on our page.

3. How to find GCD of 49, 186, 675, 363 on a calculator?

You can find the GCD of 49, 186, 675, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.