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 71, 936, 217, 914 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 936, 217, 914 is 1
GCD(71, 936, 217, 914) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 936, 217, 914 is 1
GCD(71, 936, 217, 914) = 1
Given Input numbers are 71, 936, 217, 914
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Greatest Common Divisior
We found the divisors of 71, 936, 217, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 936, 217, 914 is 1.
Therefore, GCD of numbers 71, 936, 217, 914 is 1
Given Input Data is 71, 936, 217, 914
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
Prime Factorization of 217 is 7 x 31
Prime Factorization of 914 is 2 x 457
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(71, 936) = 66456
GCD(71, 936) = ( 71 x 936 ) / 66456
GCD(71, 936) = 66456 / 66456
GCD(71, 936) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 217
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 217) = 217
GCD(1, 217) = ( 1 x 217 ) / 217
GCD(1, 217) = 217 / 217
GCD(1, 217) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 914
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
GCD(1, 914) = 914 / 914
GCD(1, 914) = 1
GCD of 71, 936, 217, 914 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 936, 217, 914?
GCD of 71, 936, 217, 914 is 1
2. Where do I get the detailed procedure to find GCD of 71, 936, 217, 914?
You can find a detailed procedure to find GCD of 71, 936, 217, 914 on our page.
3. How to find GCD of 71, 936, 217, 914 on a calculator?
You can find the GCD of 71, 936, 217, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.