GCD of 167, 414, 396 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 167, 414, 396 quickly. Get the easiest ways to solve the greatest common divisor of 167, 414, 396 i.e 1 in different methods as follows.
Given Input numbers are 167, 414, 396
In the factoring method, we have to find the divisors of all numbers
Divisors of 167 :
The positive integer divisors of 167 that completely divides 167 are.
1, 167
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (167, 414, 396) = 1.
Given numbers are 167, 414, 396
The list of prime factors of all numbers are
Prime factors of 167 are 167
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 167, 414, 396 using LCM Formula
Given numbers are 167, 414, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(167, 414) = 69138
GCD(167, 414) = ( 167 x 414 ) / 69138
= 167 / 414
= 167
Step2:
LCM(1, 396) = 396
GCD(1, 396) = ( 1 x 396 ) / 396
= 1 / 396
= 1
So, Greatest Common Divisor of 167, 414, 396 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 167, 414, 396
Given numbers are 167, 414, 396
The greatest common divisor of numbers 167, 414, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 167, 414, 396 is 1.
FAQs on GCD of 167, 414, 396 Calculator
1. What is the GCD of 167, 414, 396?
GCD of given numbers 167, 414, 396 is 1
2. How to calculate the greatest common divisor of 167, 414, 396?
We can find the highest common divisor of 167, 414, 396 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 167, 414, 396 i.e 1.
3. How can I use the GCD of 167, 414, 396Calculator?
Out the numbers 167, 414, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.