GCD of 108, 141, 314, 705 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 108, 141, 314, 705 quickly. Get the easiest ways to solve the greatest common divisor of 108, 141, 314, 705 i.e 1 in different methods as follows.
Given Input numbers are 108, 141, 314, 705
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
GCD of numbers is the greatest common divisor
So, the GCD (108, 141, 314, 705) = 1.
Given numbers are 108, 141, 314, 705
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 141 are 3 x 47
Prime factors of 314 are 2 x 157
Prime factors of 705 are 3 x 5 x 47
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 108, 141, 314, 705 using LCM Formula
Given numbers are 108, 141, 314, 705
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 141) = 5076
GCD(108, 141) = ( 108 x 141 ) / 5076
= 108 / 141
= 108
Step2:
LCM(3, 314) = 942
GCD(3, 314) = ( 3 x 314 ) / 942
= 3 / 314
= 3
Step3:
LCM(1, 705) = 705
GCD(1, 705) = ( 1 x 705 ) / 705
= 1 / 705
= 1
So, Greatest Common Divisor of 108, 141, 314, 705 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 108, 141, 314, 705
Given numbers are 108, 141, 314, 705
The greatest common divisor of numbers 108, 141, 314, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 141, 314, 705 is 1.
FAQs on GCD of 108, 141, 314, 705 Calculator
1. What is the GCD of 108, 141, 314, 705?
GCD of given numbers 108, 141, 314, 705 is 1
2. How to calculate the greatest common divisor of 108, 141, 314, 705?
We can find the highest common divisor of 108, 141, 314, 705 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 108, 141, 314, 705 i.e 1.
3. How can I use the GCD of 108, 141, 314, 705Calculator?
Out the numbers 108, 141, 314, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.