GCD of 460, 600, 200 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 460, 600, 200 quickly. Get the easiest ways to solve the greatest common divisor of 460, 600, 200 i.e 20 in different methods as follows.
Given Input numbers are 460, 600, 200
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (460, 600, 200) = 20.
Given numbers are 460, 600, 200
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 22 x 51
Therefore, GCD of 460, 600, 200 is 20.
Steps to Calculate GCD of 460, 600, 200 using LCM Formula
Given numbers are 460, 600, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 600) = 13800
GCD(460, 600) = ( 460 x 600 ) / 13800
= 460 / 600
= 460
Step2:
LCM(20, 200) = 200
GCD(20, 200) = ( 20 x 200 ) / 200
= 20 / 200
= 20
So, Greatest Common Divisor of 460, 600, 200 is 20
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 460, 600, 200
Given numbers are 460, 600, 200
The greatest common divisor of numbers 460, 600, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 600, 200 is 20.
FAQs on GCD of 460, 600, 200 Calculator
1. What is the GCD of 460, 600, 200?
GCD of given numbers 460, 600, 200 is 20
2. How to calculate the greatest common divisor of 460, 600, 200?
We can find the highest common divisor of 460, 600, 200 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 460, 600, 200 i.e 20.
3. How can I use the GCD of 460, 600, 200Calculator?
Out the numbers 460, 600, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.