GCD of 604, 700, 228 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 604, 700, 228 quickly. Get the easiest ways to solve the greatest common divisor of 604, 700, 228 i.e 4 in different methods as follows.
Given Input numbers are 604, 700, 228
In the factoring method, we have to find the divisors of all numbers
Divisors of 604 :
The positive integer divisors of 604 that completely divides 604 are.
1, 2, 4, 151, 302, 604
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (604, 700, 228) = 4.
Given numbers are 604, 700, 228
The list of prime factors of all numbers are
Prime factors of 604 are 2 x 2 x 151
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 22
Therefore, GCD of 604, 700, 228 is 4.
Steps to Calculate GCD of 604, 700, 228 using LCM Formula
Given numbers are 604, 700, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(604, 700) = 105700
GCD(604, 700) = ( 604 x 700 ) / 105700
= 604 / 700
= 604
Step2:
LCM(4, 228) = 228
GCD(4, 228) = ( 4 x 228 ) / 228
= 4 / 228
= 4
So, Greatest Common Divisor of 604, 700, 228 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 604, 700, 228
Given numbers are 604, 700, 228
The greatest common divisor of numbers 604, 700, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 604, 700, 228 is 4.
FAQs on GCD of 604, 700, 228 Calculator
1. What is the GCD of 604, 700, 228?
GCD of given numbers 604, 700, 228 is 4
2. How to calculate the greatest common divisor of 604, 700, 228?
We can find the highest common divisor of 604, 700, 228 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 604, 700, 228 i.e 4.
3. How can I use the GCD of 604, 700, 228Calculator?
Out the numbers 604, 700, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.