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 940, 176, 841, 164 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 176, 841, 164 is 1
GCD(940, 176, 841, 164) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 176, 841, 164 is 1
GCD(940, 176, 841, 164) = 1
Given Input numbers are 940, 176, 841, 164
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Greatest Common Divisior
We found the divisors of 940, 176, 841, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 176, 841, 164 is 1.
Therefore, GCD of numbers 940, 176, 841, 164 is 1
Given Input Data is 940, 176, 841, 164
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 841 is 29 x 29
Prime Factorization of 164 is 2 x 2 x 41
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(940, 176) = 41360
GCD(940, 176) = ( 940 x 176 ) / 41360
GCD(940, 176) = 165440 / 41360
GCD(940, 176) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 841) = 3364
GCD(4, 841) = ( 4 x 841 ) / 3364
GCD(4, 841) = 3364 / 3364
GCD(4, 841) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 164
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 164) = 164
GCD(1, 164) = ( 1 x 164 ) / 164
GCD(1, 164) = 164 / 164
GCD(1, 164) = 1
GCD of 940, 176, 841, 164 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 176, 841, 164?
GCD of 940, 176, 841, 164 is 1
2. Where do I get the detailed procedure to find GCD of 940, 176, 841, 164?
You can find a detailed procedure to find GCD of 940, 176, 841, 164 on our page.
3. How to find GCD of 940, 176, 841, 164 on a calculator?
You can find the GCD of 940, 176, 841, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.