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 987, 506, 347, 726 i.e. 1 largest integer that divides all the numbers equally.
GCD of 987, 506, 347, 726 is 1
GCD(987, 506, 347, 726) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 987, 506, 347, 726 is 1
GCD(987, 506, 347, 726) = 1
Given Input numbers are 987, 506, 347, 726
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
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 987, 506, 347, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 506, 347, 726 is 1.
Therefore, GCD of numbers 987, 506, 347, 726 is 1
Given Input Data is 987, 506, 347, 726
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 347 is 347
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(987, 506) = 499422
GCD(987, 506) = ( 987 x 506 ) / 499422
GCD(987, 506) = 499422 / 499422
GCD(987, 506) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 347) = 347
GCD(1, 347) = ( 1 x 347 ) / 347
GCD(1, 347) = 347 / 347
GCD(1, 347) = 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 987, 506, 347, 726 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 987, 506, 347, 726?
GCD of 987, 506, 347, 726 is 1
2. Where do I get the detailed procedure to find GCD of 987, 506, 347, 726?
You can find a detailed procedure to find GCD of 987, 506, 347, 726 on our page.
3. How to find GCD of 987, 506, 347, 726 on a calculator?
You can find the GCD of 987, 506, 347, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.