GCD of 160, 780, 460 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 160, 780, 460 quickly. Get the easiest ways to solve the greatest common divisor of 160, 780, 460 i.e 20 in different methods as follows.
Given Input numbers are 160, 780, 460
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
GCD of numbers is the greatest common divisor
So, the GCD (160, 780, 460) = 20.
Given numbers are 160, 780, 460
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 460 are 2 x 2 x 5 x 23
The highest common occurrence is 22 x 51
Therefore, GCD of 160, 780, 460 is 20.
Steps to Calculate GCD of 160, 780, 460 using LCM Formula
Given numbers are 160, 780, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 780) = 6240
GCD(160, 780) = ( 160 x 780 ) / 6240
= 160 / 780
= 160
Step2:
LCM(20, 460) = 460
GCD(20, 460) = ( 20 x 460 ) / 460
= 20 / 460
= 20
So, Greatest Common Divisor of 160, 780, 460 is 20
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 160, 780, 460
Given numbers are 160, 780, 460
The greatest common divisor of numbers 160, 780, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 780, 460 is 20.
FAQs on GCD of 160, 780, 460 Calculator
1. What is the GCD of 160, 780, 460?
GCD of given numbers 160, 780, 460 is 20
2. How to calculate the greatest common divisor of 160, 780, 460?
We can find the highest common divisor of 160, 780, 460 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 160, 780, 460 i.e 20.
3. How can I use the GCD of 160, 780, 460Calculator?
Out the numbers 160, 780, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.