GCD of 584, 104, 920 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 584, 104, 920 quickly. Get the easiest ways to solve the greatest common divisor of 584, 104, 920 i.e 8 in different methods as follows.
Given Input numbers are 584, 104, 920
In the factoring method, we have to find the divisors of all numbers
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
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
GCD of numbers is the greatest common divisor
So, the GCD (584, 104, 920) = 8.
Given numbers are 584, 104, 920
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 23
Therefore, GCD of 584, 104, 920 is 8.
Steps to Calculate GCD of 584, 104, 920 using LCM Formula
Given numbers are 584, 104, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 104) = 7592
GCD(584, 104) = ( 584 x 104 ) / 7592
= 584 / 104
= 584
Step2:
LCM(8, 920) = 920
GCD(8, 920) = ( 8 x 920 ) / 920
= 8 / 920
= 8
So, Greatest Common Divisor of 584, 104, 920 is 8
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 584, 104, 920
Given numbers are 584, 104, 920
The greatest common divisor of numbers 584, 104, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 104, 920 is 8.
FAQs on GCD of 584, 104, 920 Calculator
1. What is the GCD of 584, 104, 920?
GCD of given numbers 584, 104, 920 is 8
2. How to calculate the greatest common divisor of 584, 104, 920?
We can find the highest common divisor of 584, 104, 920 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 584, 104, 920 i.e 8.
3. How can I use the GCD of 584, 104, 920Calculator?
Out the numbers 584, 104, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.