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 867, 526, 738, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 526, 738, 721 is 1
GCD(867, 526, 738, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 526, 738, 721 is 1
GCD(867, 526, 738, 721) = 1
Given Input numbers are 867, 526, 738, 721
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 867, 526, 738, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 526, 738, 721 is 1.
Therefore, GCD of numbers 867, 526, 738, 721 is 1
Given Input Data is 867, 526, 738, 721
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 526 is 2 x 263
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 721 is 7 x 103
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(867, 526) = 456042
GCD(867, 526) = ( 867 x 526 ) / 456042
GCD(867, 526) = 456042 / 456042
GCD(867, 526) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
GCD of 867, 526, 738, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 526, 738, 721?
GCD of 867, 526, 738, 721 is 1
2. Where do I get the detailed procedure to find GCD of 867, 526, 738, 721?
You can find a detailed procedure to find GCD of 867, 526, 738, 721 on our page.
3. How to find GCD of 867, 526, 738, 721 on a calculator?
You can find the GCD of 867, 526, 738, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.