GCD of 220, 645, 585 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 220, 645, 585 quickly. Get the easiest ways to solve the greatest common divisor of 220, 645, 585 i.e 5 in different methods as follows.
Given Input numbers are 220, 645, 585
In the factoring method, we have to find the divisors of all numbers
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 585 :
The positive integer divisors of 585 that completely divides 585 are.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
GCD of numbers is the greatest common divisor
So, the GCD (220, 645, 585) = 5.
Given numbers are 220, 645, 585
The list of prime factors of all numbers are
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 645 are 3 x 5 x 43
Prime factors of 585 are 3 x 3 x 5 x 13
The highest common occurrence is 51
Therefore, GCD of 220, 645, 585 is 5.
Steps to Calculate GCD of 220, 645, 585 using LCM Formula
Given numbers are 220, 645, 585
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(220, 645) = 28380
GCD(220, 645) = ( 220 x 645 ) / 28380
= 220 / 645
= 220
Step2:
LCM(5, 585) = 585
GCD(5, 585) = ( 5 x 585 ) / 585
= 5 / 585
= 5
So, Greatest Common Divisor of 220, 645, 585 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 220, 645, 585
Given numbers are 220, 645, 585
The greatest common divisor of numbers 220, 645, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 645, 585 is 5.
FAQs on GCD of 220, 645, 585 Calculator
1. What is the GCD of 220, 645, 585?
GCD of given numbers 220, 645, 585 is 5
2. How to calculate the greatest common divisor of 220, 645, 585?
We can find the highest common divisor of 220, 645, 585 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 220, 645, 585 i.e 5.
3. How can I use the GCD of 220, 645, 585Calculator?
Out the numbers 220, 645, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.