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 44, 124, 767, 973 i.e. 1 largest integer that divides all the numbers equally.
GCD of 44, 124, 767, 973 is 1
GCD(44, 124, 767, 973) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 44, 124, 767, 973 is 1
GCD(44, 124, 767, 973) = 1
Given Input numbers are 44, 124, 767, 973
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Greatest Common Divisior
We found the divisors of 44, 124, 767, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 124, 767, 973 is 1.
Therefore, GCD of numbers 44, 124, 767, 973 is 1
Given Input Data is 44, 124, 767, 973
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 124 is 2 x 2 x 31
Prime Factorization of 767 is 13 x 59
Prime Factorization of 973 is 7 x 139
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(44, 124) = 1364
GCD(44, 124) = ( 44 x 124 ) / 1364
GCD(44, 124) = 5456 / 1364
GCD(44, 124) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 767) = 3068
GCD(4, 767) = ( 4 x 767 ) / 3068
GCD(4, 767) = 3068 / 3068
GCD(4, 767) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 973) = 973
GCD(1, 973) = ( 1 x 973 ) / 973
GCD(1, 973) = 973 / 973
GCD(1, 973) = 1
GCD of 44, 124, 767, 973 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 44, 124, 767, 973?
GCD of 44, 124, 767, 973 is 1
2. Where do I get the detailed procedure to find GCD of 44, 124, 767, 973?
You can find a detailed procedure to find GCD of 44, 124, 767, 973 on our page.
3. How to find GCD of 44, 124, 767, 973 on a calculator?
You can find the GCD of 44, 124, 767, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.