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 167, 838, 765, 574 i.e. 1 largest integer that divides all the numbers equally.
GCD of 167, 838, 765, 574 is 1
GCD(167, 838, 765, 574) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 167, 838, 765, 574 is 1
GCD(167, 838, 765, 574) = 1
Given Input numbers are 167, 838, 765, 574
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 838
List of positive integer divisors of 838 that divides 838 without a remainder.
1, 2, 419, 838
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Greatest Common Divisior
We found the divisors of 167, 838, 765, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 167, 838, 765, 574 is 1.
Therefore, GCD of numbers 167, 838, 765, 574 is 1
Given Input Data is 167, 838, 765, 574
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 167 is 167
Prime Factorization of 838 is 2 x 419
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 574 is 2 x 7 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(167, 838) = 139946
GCD(167, 838) = ( 167 x 838 ) / 139946
GCD(167, 838) = 139946 / 139946
GCD(167, 838) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 574
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 574) = 574
GCD(1, 574) = ( 1 x 574 ) / 574
GCD(1, 574) = 574 / 574
GCD(1, 574) = 1
GCD of 167, 838, 765, 574 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 167, 838, 765, 574?
GCD of 167, 838, 765, 574 is 1
2. Where do I get the detailed procedure to find GCD of 167, 838, 765, 574?
You can find a detailed procedure to find GCD of 167, 838, 765, 574 on our page.
3. How to find GCD of 167, 838, 765, 574 on a calculator?
You can find the GCD of 167, 838, 765, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.