GCD of 390, 340, 160 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 390, 340, 160 quickly. Get the easiest ways to solve the greatest common divisor of 390, 340, 160 i.e 10 in different methods as follows.
Given Input numbers are 390, 340, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (390, 340, 160) = 10.
Given numbers are 390, 340, 160
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21 x 51
Therefore, GCD of 390, 340, 160 is 10.
Steps to Calculate GCD of 390, 340, 160 using LCM Formula
Given numbers are 390, 340, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 340) = 13260
GCD(390, 340) = ( 390 x 340 ) / 13260
= 390 / 340
= 390
Step2:
LCM(10, 160) = 160
GCD(10, 160) = ( 10 x 160 ) / 160
= 10 / 160
= 10
So, Greatest Common Divisor of 390, 340, 160 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 390, 340, 160
Given numbers are 390, 340, 160
The greatest common divisor of numbers 390, 340, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 340, 160 is 10.
FAQs on GCD of 390, 340, 160 Calculator
1. What is the GCD of 390, 340, 160?
GCD of given numbers 390, 340, 160 is 10
2. How to calculate the greatest common divisor of 390, 340, 160?
We can find the highest common divisor of 390, 340, 160 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 390, 340, 160 i.e 10.
3. How can I use the GCD of 390, 340, 160Calculator?
Out the numbers 390, 340, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.