GCD of 364, 920, 288 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 364, 920, 288 quickly. Get the easiest ways to solve the greatest common divisor of 364, 920, 288 i.e 4 in different methods as follows.
Given Input numbers are 364, 920, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (364, 920, 288) = 4.
Given numbers are 364, 920, 288
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 364, 920, 288 is 4.
Steps to Calculate GCD of 364, 920, 288 using LCM Formula
Given numbers are 364, 920, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 920) = 83720
GCD(364, 920) = ( 364 x 920 ) / 83720
= 364 / 920
= 364
Step2:
LCM(4, 288) = 288
GCD(4, 288) = ( 4 x 288 ) / 288
= 4 / 288
= 4
So, Greatest Common Divisor of 364, 920, 288 is 4
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 364, 920, 288
Given numbers are 364, 920, 288
The greatest common divisor of numbers 364, 920, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 920, 288 is 4.
FAQs on GCD of 364, 920, 288 Calculator
1. What is the GCD of 364, 920, 288?
GCD of given numbers 364, 920, 288 is 4
2. How to calculate the greatest common divisor of 364, 920, 288?
We can find the highest common divisor of 364, 920, 288 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 364, 920, 288 i.e 4.
3. How can I use the GCD of 364, 920, 288Calculator?
Out the numbers 364, 920, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.