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 701, 216, 926, 872 i.e. 1 largest integer that divides all the numbers equally.
GCD of 701, 216, 926, 872 is 1
GCD(701, 216, 926, 872) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 701, 216, 926, 872 is 1
GCD(701, 216, 926, 872) = 1
Given Input numbers are 701, 216, 926, 872
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Greatest Common Divisior
We found the divisors of 701, 216, 926, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 216, 926, 872 is 1.
Therefore, GCD of numbers 701, 216, 926, 872 is 1
Given Input Data is 701, 216, 926, 872
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 701 is 701
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 926 is 2 x 463
Prime Factorization of 872 is 2 x 2 x 2 x 109
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(701, 216) = 151416
GCD(701, 216) = ( 701 x 216 ) / 151416
GCD(701, 216) = 151416 / 151416
GCD(701, 216) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 872
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
GCD(1, 872) = 872 / 872
GCD(1, 872) = 1
GCD of 701, 216, 926, 872 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 701, 216, 926, 872?
GCD of 701, 216, 926, 872 is 1
2. Where do I get the detailed procedure to find GCD of 701, 216, 926, 872?
You can find a detailed procedure to find GCD of 701, 216, 926, 872 on our page.
3. How to find GCD of 701, 216, 926, 872 on a calculator?
You can find the GCD of 701, 216, 926, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.