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 690, 949, 44, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 949, 44, 123 is 1
GCD(690, 949, 44, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 949, 44, 123 is 1
GCD(690, 949, 44, 123) = 1
Given Input numbers are 690, 949, 44, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 690, 949, 44, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 949, 44, 123 is 1.
Therefore, GCD of numbers 690, 949, 44, 123 is 1
Given Input Data is 690, 949, 44, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 949 is 13 x 73
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 123 is 3 x 41
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(690, 949) = 654810
GCD(690, 949) = ( 690 x 949 ) / 654810
GCD(690, 949) = 654810 / 654810
GCD(690, 949) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
GCD of 690, 949, 44, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 949, 44, 123?
GCD of 690, 949, 44, 123 is 1
2. Where do I get the detailed procedure to find GCD of 690, 949, 44, 123?
You can find a detailed procedure to find GCD of 690, 949, 44, 123 on our page.
3. How to find GCD of 690, 949, 44, 123 on a calculator?
You can find the GCD of 690, 949, 44, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.