GCD of 949, 487, 749, 104 Calculator

Given Input numbers are 949, 487, 749, 104

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 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 949, 487, 749, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 487, 749, 104 is 1.

Therefore, GCD of numbers 949, 487, 749, 104 is 1

Given Input Data is 949, 487, 749, 104

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 487 is 487

Prime Factorization of 749 is 7 x 107

Prime Factorization of 104 is 2 x 2 x 2 x 13

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, 487) = 462163

GCD(949, 487) = ( 949 x 487 ) / 462163

GCD(949, 487) = 462163 / 462163

GCD(949, 487) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 949, 487, 749, 104 is 1

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1. What is the GCD of 949, 487, 749, 104?

GCD of 949, 487, 749, 104 is 1

2. Where do I get the detailed procedure to find GCD of 949, 487, 749, 104?

You can find a detailed procedure to find GCD of 949, 487, 749, 104 on our page.

3. How to find GCD of 949, 487, 749, 104 on a calculator?

You can find the GCD of 949, 487, 749, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.