GCD of 675, 110, 249, 949 Calculator

Given Input numbers are 675, 110, 249, 949

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

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 949

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

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 675, 110, 249, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 110, 249, 949 is 1.

Therefore, GCD of numbers 675, 110, 249, 949 is 1

Given Input Data is 675, 110, 249, 949

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

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

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 249 is 3 x 83

Prime Factorization of 949 is 13 x 73

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(675, 110) = 14850

GCD(675, 110) = ( 675 x 110 ) / 14850

GCD(675, 110) = 74250 / 14850

GCD(675, 110) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 249

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

LCM(5, 249) = 1245

GCD(5, 249) = ( 5 x 249 ) / 1245

GCD(5, 249) = 1245 / 1245

GCD(5, 249) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 675, 110, 249, 949 is 1

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1. What is the GCD of 675, 110, 249, 949?

GCD of 675, 110, 249, 949 is 1

2. Where do I get the detailed procedure to find GCD of 675, 110, 249, 949?

You can find a detailed procedure to find GCD of 675, 110, 249, 949 on our page.

3. How to find GCD of 675, 110, 249, 949 on a calculator?

You can find the GCD of 675, 110, 249, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.