GCD of 374, 407, 108 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 374, 407, 108 quickly. Get the easiest ways to solve the greatest common divisor of 374, 407, 108 i.e 1 in different methods as follows.
Given Input numbers are 374, 407, 108
In the factoring method, we have to find the divisors of all numbers
Divisors of 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD of numbers is the greatest common divisor
So, the GCD (374, 407, 108) = 1.
Given numbers are 374, 407, 108
The list of prime factors of all numbers are
Prime factors of 374 are 2 x 11 x 17
Prime factors of 407 are 11 x 37
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 374, 407, 108 using LCM Formula
Given numbers are 374, 407, 108
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(374, 407) = 13838
GCD(374, 407) = ( 374 x 407 ) / 13838
= 374 / 407
= 374
Step2:
LCM(11, 108) = 1188
GCD(11, 108) = ( 11 x 108 ) / 1188
= 11 / 108
= 11
So, Greatest Common Divisor of 374, 407, 108 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 374, 407, 108
Given numbers are 374, 407, 108
The greatest common divisor of numbers 374, 407, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 407, 108 is 1.
FAQs on GCD of 374, 407, 108 Calculator
1. What is the GCD of 374, 407, 108?
GCD of given numbers 374, 407, 108 is 1
2. How to calculate the greatest common divisor of 374, 407, 108?
We can find the highest common divisor of 374, 407, 108 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 374, 407, 108 i.e 1.
3. How can I use the GCD of 374, 407, 108Calculator?
Out the numbers 374, 407, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.