GCD of 675, 213, 600 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 675, 213, 600 quickly. Get the easiest ways to solve the greatest common divisor of 675, 213, 600 i.e 3 in different methods as follows.
Given Input numbers are 675, 213, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
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
GCD of numbers is the greatest common divisor
So, the GCD (675, 213, 600) = 3.
Given numbers are 675, 213, 600
The list of prime factors of all numbers are
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 213 are 3 x 71
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 31
Therefore, GCD of 675, 213, 600 is 3.
Steps to Calculate GCD of 675, 213, 600 using LCM Formula
Given numbers are 675, 213, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 213) = 47925
GCD(675, 213) = ( 675 x 213 ) / 47925
= 675 / 213
= 675
Step2:
LCM(3, 600) = 600
GCD(3, 600) = ( 3 x 600 ) / 600
= 3 / 600
= 3
So, Greatest Common Divisor of 675, 213, 600 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 675, 213, 600
Given numbers are 675, 213, 600
The greatest common divisor of numbers 675, 213, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 213, 600 is 3.
FAQs on GCD of 675, 213, 600 Calculator
1. What is the GCD of 675, 213, 600?
GCD of given numbers 675, 213, 600 is 3
2. How to calculate the greatest common divisor of 675, 213, 600?
We can find the highest common divisor of 675, 213, 600 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 675, 213, 600 i.e 3.
3. How can I use the GCD of 675, 213, 600Calculator?
Out the numbers 675, 213, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.