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, 742, 80, 403 i.e. 1 largest integer that divides all the numbers equally.
GCD of 167, 742, 80, 403 is 1
GCD(167, 742, 80, 403) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 167, 742, 80, 403 is 1
GCD(167, 742, 80, 403) = 1
Given Input numbers are 167, 742, 80, 403
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 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Greatest Common Divisior
We found the divisors of 167, 742, 80, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 167, 742, 80, 403 is 1.
Therefore, GCD of numbers 167, 742, 80, 403 is 1
Given Input Data is 167, 742, 80, 403
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 167 is 167
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 403 is 13 x 31
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, 742) = 123914
GCD(167, 742) = ( 167 x 742 ) / 123914
GCD(167, 742) = 123914 / 123914
GCD(167, 742) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 403) = 403
GCD(1, 403) = ( 1 x 403 ) / 403
GCD(1, 403) = 403 / 403
GCD(1, 403) = 1
GCD of 167, 742, 80, 403 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 167, 742, 80, 403?
GCD of 167, 742, 80, 403 is 1
2. Where do I get the detailed procedure to find GCD of 167, 742, 80, 403?
You can find a detailed procedure to find GCD of 167, 742, 80, 403 on our page.
3. How to find GCD of 167, 742, 80, 403 on a calculator?
You can find the GCD of 167, 742, 80, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.