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 973, 840, 728, 247 i.e. 1 largest integer that divides all the numbers equally.
GCD of 973, 840, 728, 247 is 1
GCD(973, 840, 728, 247) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 973, 840, 728, 247 is 1
GCD(973, 840, 728, 247) = 1
Given Input numbers are 973, 840, 728, 247
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 247
List of positive integer divisors of 247 that divides 247 without a remainder.
1, 13, 19, 247
Greatest Common Divisior
We found the divisors of 973, 840, 728, 247 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 840, 728, 247 is 1.
Therefore, GCD of numbers 973, 840, 728, 247 is 1
Given Input Data is 973, 840, 728, 247
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 973 is 7 x 139
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 247 is 13 x 19
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(973, 840) = 116760
GCD(973, 840) = ( 973 x 840 ) / 116760
GCD(973, 840) = 817320 / 116760
GCD(973, 840) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 728) = 728
GCD(7, 728) = ( 7 x 728 ) / 728
GCD(7, 728) = 5096 / 728
GCD(7, 728) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 247
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 247) = 1729
GCD(7, 247) = ( 7 x 247 ) / 1729
GCD(7, 247) = 1729 / 1729
GCD(7, 247) = 1
GCD of 973, 840, 728, 247 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 973, 840, 728, 247?
GCD of 973, 840, 728, 247 is 1
2. Where do I get the detailed procedure to find GCD of 973, 840, 728, 247?
You can find a detailed procedure to find GCD of 973, 840, 728, 247 on our page.
3. How to find GCD of 973, 840, 728, 247 on a calculator?
You can find the GCD of 973, 840, 728, 247 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.