GCD of 949, 249, 758, 114 Calculator

Given Input numbers are 949, 249, 758, 114

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

Divisors of 949

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

1, 13, 73, 949

Divisors of 249

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

1, 3, 83, 249

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 949, 249, 758, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 249, 758, 114 is 1.

Therefore, GCD of numbers 949, 249, 758, 114 is 1

Given Input Data is 949, 249, 758, 114

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 249 is 3 x 83

Prime Factorization of 758 is 2 x 379

Prime Factorization of 114 is 2 x 3 x 19

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(949, 249) = 236301

GCD(949, 249) = ( 949 x 249 ) / 236301

GCD(949, 249) = 236301 / 236301

GCD(949, 249) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 949, 249, 758, 114 is 1

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1. What is the GCD of 949, 249, 758, 114?

GCD of 949, 249, 758, 114 is 1

2. Where do I get the detailed procedure to find GCD of 949, 249, 758, 114?

You can find a detailed procedure to find GCD of 949, 249, 758, 114 on our page.

3. How to find GCD of 949, 249, 758, 114 on a calculator?

You can find the GCD of 949, 249, 758, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.