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 724, 937, 340, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 937, 340, 968 is 1
GCD(724, 937, 340, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 937, 340, 968 is 1
GCD(724, 937, 340, 968) = 1
Given Input numbers are 724, 937, 340, 968
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 724, 937, 340, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 937, 340, 968 is 1.
Therefore, GCD of numbers 724, 937, 340, 968 is 1
Given Input Data is 724, 937, 340, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 937 is 937
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 968 is 2 x 2 x 2 x 11 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(724, 937) = 678388
GCD(724, 937) = ( 724 x 937 ) / 678388
GCD(724, 937) = 678388 / 678388
GCD(724, 937) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 724, 937, 340, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 937, 340, 968?
GCD of 724, 937, 340, 968 is 1
2. Where do I get the detailed procedure to find GCD of 724, 937, 340, 968?
You can find a detailed procedure to find GCD of 724, 937, 340, 968 on our page.
3. How to find GCD of 724, 937, 340, 968 on a calculator?
You can find the GCD of 724, 937, 340, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.