GCD of 210, 585, 642 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 210, 585, 642 quickly. Get the easiest ways to solve the greatest common divisor of 210, 585, 642 i.e 3 in different methods as follows.
Given Input numbers are 210, 585, 642
In the factoring method, we have to find the divisors of all numbers
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
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
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (210, 585, 642) = 3.
Given numbers are 210, 585, 642
The list of prime factors of all numbers are
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 585 are 3 x 3 x 5 x 13
Prime factors of 642 are 2 x 3 x 107
The highest common occurrence is 31
Therefore, GCD of 210, 585, 642 is 3.
Steps to Calculate GCD of 210, 585, 642 using LCM Formula
Given numbers are 210, 585, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(210, 585) = 8190
GCD(210, 585) = ( 210 x 585 ) / 8190
= 210 / 585
= 210
Step2:
LCM(15, 642) = 3210
GCD(15, 642) = ( 15 x 642 ) / 3210
= 15 / 642
= 15
So, Greatest Common Divisor of 210, 585, 642 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 210, 585, 642
Given numbers are 210, 585, 642
The greatest common divisor of numbers 210, 585, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 585, 642 is 3.
FAQs on GCD of 210, 585, 642 Calculator
1. What is the GCD of 210, 585, 642?
GCD of given numbers 210, 585, 642 is 3
2. How to calculate the greatest common divisor of 210, 585, 642?
We can find the highest common divisor of 210, 585, 642 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 210, 585, 642 i.e 3.
3. How can I use the GCD of 210, 585, 642Calculator?
Out the numbers 210, 585, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.