Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 949, 487, 749, 104 i.e. 1 largest integer that divides all the numbers equally.
GCD of 949, 487, 749, 104 is 1
GCD(949, 487, 749, 104) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 949, 487, 749, 104 is 1
GCD(949, 487, 749, 104) = 1
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
Here are some samples of GCD of Numbers calculations.
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.