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 892, 426, 71, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 892, 426, 71, 936 is 1
GCD(892, 426, 71, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 892, 426, 71, 936 is 1
GCD(892, 426, 71, 936) = 1
Given Input numbers are 892, 426, 71, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 892
List of positive integer divisors of 892 that divides 892 without a remainder.
1, 2, 4, 223, 446, 892
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
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
Greatest Common Divisior
We found the divisors of 892, 426, 71, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 426, 71, 936 is 1.
Therefore, GCD of numbers 892, 426, 71, 936 is 1
Given Input Data is 892, 426, 71, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 892 is 2 x 2 x 223
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 71 is 71
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(892, 426) = 189996
GCD(892, 426) = ( 892 x 426 ) / 189996
GCD(892, 426) = 379992 / 189996
GCD(892, 426) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
GCD(2, 71) = 142 / 142
GCD(2, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 892, 426, 71, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 892, 426, 71, 936?
GCD of 892, 426, 71, 936 is 1
2. Where do I get the detailed procedure to find GCD of 892, 426, 71, 936?
You can find a detailed procedure to find GCD of 892, 426, 71, 936 on our page.
3. How to find GCD of 892, 426, 71, 936 on a calculator?
You can find the GCD of 892, 426, 71, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.