GCD of 405, 921, 426, 167 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 405, 921, 426, 167 quickly. Get the easiest ways to solve the greatest common divisor of 405, 921, 426, 167 i.e 1 in different methods as follows.
Given Input numbers are 405, 921, 426, 167
In the factoring method, we have to find the divisors of all numbers
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 167 :
The positive integer divisors of 167 that completely divides 167 are.
1, 167
GCD of numbers is the greatest common divisor
So, the GCD (405, 921, 426, 167) = 1.
Given numbers are 405, 921, 426, 167
The list of prime factors of all numbers are
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
Prime factors of 921 are 3 x 307
Prime factors of 426 are 2 x 3 x 71
Prime factors of 167 are 167
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 405, 921, 426, 167 using LCM Formula
Given numbers are 405, 921, 426, 167
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(405, 921) = 124335
GCD(405, 921) = ( 405 x 921 ) / 124335
= 405 / 921
= 405
Step2:
LCM(3, 426) = 426
GCD(3, 426) = ( 3 x 426 ) / 426
= 3 / 426
= 3
Step3:
LCM(3, 167) = 501
GCD(3, 167) = ( 3 x 167 ) / 501
= 3 / 167
= 3
So, Greatest Common Divisor of 405, 921, 426, 167 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 405, 921, 426, 167
Given numbers are 405, 921, 426, 167
The greatest common divisor of numbers 405, 921, 426, 167 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 405, 921, 426, 167 is 1.
FAQs on GCD of 405, 921, 426, 167 Calculator
1. What is the GCD of 405, 921, 426, 167?
GCD of given numbers 405, 921, 426, 167 is 1
2. How to calculate the greatest common divisor of 405, 921, 426, 167?
We can find the highest common divisor of 405, 921, 426, 167 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 405, 921, 426, 167 i.e 1.
3. How can I use the GCD of 405, 921, 426, 167Calculator?
Out the numbers 405, 921, 426, 167 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.