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 340, 446, 837, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 446, 837, 167 is 1
GCD(340, 446, 837, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 446, 837, 167 is 1
GCD(340, 446, 837, 167) = 1
Given Input numbers are 340, 446, 837, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 340, 446, 837, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 446, 837, 167 is 1.
Therefore, GCD of numbers 340, 446, 837, 167 is 1
Given Input Data is 340, 446, 837, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 446 is 2 x 223
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 167 is 167
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(340, 446) = 75820
GCD(340, 446) = ( 340 x 446 ) / 75820
GCD(340, 446) = 151640 / 75820
GCD(340, 446) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 837) = 1674
GCD(2, 837) = ( 2 x 837 ) / 1674
GCD(2, 837) = 1674 / 1674
GCD(2, 837) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
GCD of 340, 446, 837, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 446, 837, 167?
GCD of 340, 446, 837, 167 is 1
2. Where do I get the detailed procedure to find GCD of 340, 446, 837, 167?
You can find a detailed procedure to find GCD of 340, 446, 837, 167 on our page.
3. How to find GCD of 340, 446, 837, 167 on a calculator?
You can find the GCD of 340, 446, 837, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.