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 49, 973, 390, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 973, 390, 924 is 1
GCD(49, 973, 390, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 973, 390, 924 is 1
GCD(49, 973, 390, 924) = 1
Given Input numbers are 49, 973, 390, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 49, 973, 390, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 973, 390, 924 is 1.
Therefore, GCD of numbers 49, 973, 390, 924 is 1
Given Input Data is 49, 973, 390, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 973 is 7 x 139
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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(49, 973) = 6811
GCD(49, 973) = ( 49 x 973 ) / 6811
GCD(49, 973) = 47677 / 6811
GCD(49, 973) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 390) = 2730
GCD(7, 390) = ( 7 x 390 ) / 2730
GCD(7, 390) = 2730 / 2730
GCD(7, 390) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 49, 973, 390, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 973, 390, 924?
GCD of 49, 973, 390, 924 is 1
2. Where do I get the detailed procedure to find GCD of 49, 973, 390, 924?
You can find a detailed procedure to find GCD of 49, 973, 390, 924 on our page.
3. How to find GCD of 49, 973, 390, 924 on a calculator?
You can find the GCD of 49, 973, 390, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.