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 216, 215, 701, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 216, 215, 701, 840 is 1
GCD(216, 215, 701, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 216, 215, 701, 840 is 1
GCD(216, 215, 701, 840) = 1
Given Input numbers are 216, 215, 701, 840
To find the GCD of numbers using factoring list out all the divisors of each number
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 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Greatest Common Divisior
We found the divisors of 216, 215, 701, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 215, 701, 840 is 1.
Therefore, GCD of numbers 216, 215, 701, 840 is 1
Given Input Data is 216, 215, 701, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 215 is 5 x 43
Prime Factorization of 701 is 701
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
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(216, 215) = 46440
GCD(216, 215) = ( 216 x 215 ) / 46440
GCD(216, 215) = 46440 / 46440
GCD(216, 215) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 701) = 701
GCD(1, 701) = ( 1 x 701 ) / 701
GCD(1, 701) = 701 / 701
GCD(1, 701) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 216, 215, 701, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 216, 215, 701, 840?
GCD of 216, 215, 701, 840 is 1
2. Where do I get the detailed procedure to find GCD of 216, 215, 701, 840?
You can find a detailed procedure to find GCD of 216, 215, 701, 840 on our page.
3. How to find GCD of 216, 215, 701, 840 on a calculator?
You can find the GCD of 216, 215, 701, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.