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 547, 988, 47, 726 i.e. 1 largest integer that divides all the numbers equally.
GCD of 547, 988, 47, 726 is 1
GCD(547, 988, 47, 726) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 547, 988, 47, 726 is 1
GCD(547, 988, 47, 726) = 1
Given Input numbers are 547, 988, 47, 726
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 547
List of positive integer divisors of 547 that divides 547 without a remainder.
1, 547
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Greatest Common Divisior
We found the divisors of 547, 988, 47, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 988, 47, 726 is 1.
Therefore, GCD of numbers 547, 988, 47, 726 is 1
Given Input Data is 547, 988, 47, 726
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 547 is 547
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 47 is 47
Prime Factorization of 726 is 2 x 3 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(547, 988) = 540436
GCD(547, 988) = ( 547 x 988 ) / 540436
GCD(547, 988) = 540436 / 540436
GCD(547, 988) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 47) = 47
GCD(1, 47) = ( 1 x 47 ) / 47
GCD(1, 47) = 47 / 47
GCD(1, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
GCD of 547, 988, 47, 726 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 547, 988, 47, 726?
GCD of 547, 988, 47, 726 is 1
2. Where do I get the detailed procedure to find GCD of 547, 988, 47, 726?
You can find a detailed procedure to find GCD of 547, 988, 47, 726 on our page.
3. How to find GCD of 547, 988, 47, 726 on a calculator?
You can find the GCD of 547, 988, 47, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.