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, 547, 976, 848 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 547, 976, 848 is 1
GCD(724, 547, 976, 848) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 547, 976, 848 is 1
GCD(724, 547, 976, 848) = 1
Given Input numbers are 724, 547, 976, 848
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 547
List of positive integer divisors of 547 that divides 547 without a remainder.
1, 547
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Greatest Common Divisior
We found the divisors of 724, 547, 976, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 547, 976, 848 is 1.
Therefore, GCD of numbers 724, 547, 976, 848 is 1
Given Input Data is 724, 547, 976, 848
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 547 is 547
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
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, 547) = 396028
GCD(724, 547) = ( 724 x 547 ) / 396028
GCD(724, 547) = 396028 / 396028
GCD(724, 547) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 976) = 976
GCD(1, 976) = ( 1 x 976 ) / 976
GCD(1, 976) = 976 / 976
GCD(1, 976) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
GCD(1, 848) = 848 / 848
GCD(1, 848) = 1
GCD of 724, 547, 976, 848 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 547, 976, 848?
GCD of 724, 547, 976, 848 is 1
2. Where do I get the detailed procedure to find GCD of 724, 547, 976, 848?
You can find a detailed procedure to find GCD of 724, 547, 976, 848 on our page.
3. How to find GCD of 724, 547, 976, 848 on a calculator?
You can find the GCD of 724, 547, 976, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.