GCD of 368, 149, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 368, 149, 21 quickly. Get the easiest ways to solve the greatest common divisor of 368, 149, 21 i.e 1 in different methods as follows.
Given Input numbers are 368, 149, 21
In the factoring method, we have to find the divisors of all numbers
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
GCD of numbers is the greatest common divisor
So, the GCD (368, 149, 21) = 1.
Given numbers are 368, 149, 21
The list of prime factors of all numbers are
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 149 are 149
Prime factors of 21 are 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 368, 149, 21 using LCM Formula
Given numbers are 368, 149, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(368, 149) = 54832
GCD(368, 149) = ( 368 x 149 ) / 54832
= 368 / 149
= 368
Step2:
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
= 1 / 21
= 1
So, Greatest Common Divisor of 368, 149, 21 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 368, 149, 21
Given numbers are 368, 149, 21
The greatest common divisor of numbers 368, 149, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 149, 21 is 1.
FAQs on GCD of 368, 149, 21 Calculator
1. What is the GCD of 368, 149, 21?
GCD of given numbers 368, 149, 21 is 1
2. How to calculate the greatest common divisor of 368, 149, 21?
We can find the highest common divisor of 368, 149, 21 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 368, 149, 21 i.e 1.
3. How can I use the GCD of 368, 149, 21Calculator?
Out the numbers 368, 149, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.