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 164, 738, 85, 276 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 738, 85, 276 is 1
GCD(164, 738, 85, 276) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 738, 85, 276 is 1
GCD(164, 738, 85, 276) = 1
Given Input numbers are 164, 738, 85, 276
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Greatest Common Divisior
We found the divisors of 164, 738, 85, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 738, 85, 276 is 1.
Therefore, GCD of numbers 164, 738, 85, 276 is 1
Given Input Data is 164, 738, 85, 276
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 85 is 5 x 17
Prime Factorization of 276 is 2 x 2 x 3 x 23
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(164, 738) = 1476
GCD(164, 738) = ( 164 x 738 ) / 1476
GCD(164, 738) = 121032 / 1476
GCD(164, 738) = 82
Step2:
Here we consider the GCD from the above i.e. 82 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(82, 85) = 6970
GCD(82, 85) = ( 82 x 85 ) / 6970
GCD(82, 85) = 6970 / 6970
GCD(82, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 276) = 276
GCD(1, 276) = ( 1 x 276 ) / 276
GCD(1, 276) = 276 / 276
GCD(1, 276) = 1
GCD of 164, 738, 85, 276 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 738, 85, 276?
GCD of 164, 738, 85, 276 is 1
2. Where do I get the detailed procedure to find GCD of 164, 738, 85, 276?
You can find a detailed procedure to find GCD of 164, 738, 85, 276 on our page.
3. How to find GCD of 164, 738, 85, 276 on a calculator?
You can find the GCD of 164, 738, 85, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.