GCD of 370, 470, 204 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 370, 470, 204 quickly. Get the easiest ways to solve the greatest common divisor of 370, 470, 204 i.e 2 in different methods as follows.
Given Input numbers are 370, 470, 204
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD of numbers is the greatest common divisor
So, the GCD (370, 470, 204) = 2.
Given numbers are 370, 470, 204
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 470 are 2 x 5 x 47
Prime factors of 204 are 2 x 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 370, 470, 204 is 2.
Steps to Calculate GCD of 370, 470, 204 using LCM Formula
Given numbers are 370, 470, 204
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 470) = 17390
GCD(370, 470) = ( 370 x 470 ) / 17390
= 370 / 470
= 370
Step2:
LCM(10, 204) = 1020
GCD(10, 204) = ( 10 x 204 ) / 1020
= 10 / 204
= 10
So, Greatest Common Divisor of 370, 470, 204 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 370, 470, 204
Given numbers are 370, 470, 204
The greatest common divisor of numbers 370, 470, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 470, 204 is 2.
FAQs on GCD of 370, 470, 204 Calculator
1. What is the GCD of 370, 470, 204?
GCD of given numbers 370, 470, 204 is 2
2. How to calculate the greatest common divisor of 370, 470, 204?
We can find the highest common divisor of 370, 470, 204 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 370, 470, 204 i.e 2.
3. How can I use the GCD of 370, 470, 204Calculator?
Out the numbers 370, 470, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.