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 92, 921, 180, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 92, 921, 180, 356 is 1
GCD(92, 921, 180, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 92, 921, 180, 356 is 1
GCD(92, 921, 180, 356) = 1
Given Input numbers are 92, 921, 180, 356
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 92, 921, 180, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 921, 180, 356 is 1.
Therefore, GCD of numbers 92, 921, 180, 356 is 1
Given Input Data is 92, 921, 180, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 921 is 3 x 307
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 356 is 2 x 2 x 89
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(92, 921) = 84732
GCD(92, 921) = ( 92 x 921 ) / 84732
GCD(92, 921) = 84732 / 84732
GCD(92, 921) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 92, 921, 180, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 92, 921, 180, 356?
GCD of 92, 921, 180, 356 is 1
2. Where do I get the detailed procedure to find GCD of 92, 921, 180, 356?
You can find a detailed procedure to find GCD of 92, 921, 180, 356 on our page.
3. How to find GCD of 92, 921, 180, 356 on a calculator?
You can find the GCD of 92, 921, 180, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.