GCD of 49, 949, 186, 538 Calculator

Given Input numbers are 49, 949, 186, 538

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 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

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 538

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

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 49, 949, 186, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 949, 186, 538 is 1.

Therefore, GCD of numbers 49, 949, 186, 538 is 1

Given Input Data is 49, 949, 186, 538

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 949 is 13 x 73

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 538 is 2 x 269

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, 949) = 46501

GCD(49, 949) = ( 49 x 949 ) / 46501

GCD(49, 949) = 46501 / 46501

GCD(49, 949) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 49, 949, 186, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 342, 124, 724
• GCD of 31, 209, 734, 315
• GCD of 63, 801, 309, 579
• GCD of 56, 778, 118, 447
• GCD of 86, 559, 410, 710

1. What is the GCD of 49, 949, 186, 538?

GCD of 49, 949, 186, 538 is 1

2. Where do I get the detailed procedure to find GCD of 49, 949, 186, 538?

You can find a detailed procedure to find GCD of 49, 949, 186, 538 on our page.

3. How to find GCD of 49, 949, 186, 538 on a calculator?

You can find the GCD of 49, 949, 186, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.