GCD of 600, 552, 192 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 600, 552, 192 quickly. Get the easiest ways to solve the greatest common divisor of 600, 552, 192 i.e 24 in different methods as follows.
Given Input numbers are 600, 552, 192
In the factoring method, we have to find the divisors of all numbers
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 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
GCD of numbers is the greatest common divisor
So, the GCD (600, 552, 192) = 24.
Given numbers are 600, 552, 192
The list of prime factors of all numbers are
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 23 x 31
Therefore, GCD of 600, 552, 192 is 24.
Steps to Calculate GCD of 600, 552, 192 using LCM Formula
Given numbers are 600, 552, 192
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(600, 552) = 13800
GCD(600, 552) = ( 600 x 552 ) / 13800
= 600 / 552
= 600
Step2:
LCM(24, 192) = 192
GCD(24, 192) = ( 24 x 192 ) / 192
= 24 / 192
= 24
So, Greatest Common Divisor of 600, 552, 192 is 24
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 600, 552, 192
Given numbers are 600, 552, 192
The greatest common divisor of numbers 600, 552, 192 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 552, 192 is 24.
FAQs on GCD of 600, 552, 192 Calculator
1. What is the GCD of 600, 552, 192?
GCD of given numbers 600, 552, 192 is 24
2. How to calculate the greatest common divisor of 600, 552, 192?
We can find the highest common divisor of 600, 552, 192 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 600, 552, 192 i.e 24.
3. How can I use the GCD of 600, 552, 192Calculator?
Out the numbers 600, 552, 192 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.