GCD of 856, 784, 584 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 856, 784, 584 quickly. Get the easiest ways to solve the greatest common divisor of 856, 784, 584 i.e 8 in different methods as follows.
Given Input numbers are 856, 784, 584
In the factoring method, we have to find the divisors of all numbers
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 584 :
The positive integer divisors of 584 that completely divides 584 are.
1, 2, 4, 8, 73, 146, 292, 584
GCD of numbers is the greatest common divisor
So, the GCD (856, 784, 584) = 8.
Given numbers are 856, 784, 584
The list of prime factors of all numbers are
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 584 are 2 x 2 x 2 x 73
The highest common occurrence is 23
Therefore, GCD of 856, 784, 584 is 8.
Steps to Calculate GCD of 856, 784, 584 using LCM Formula
Given numbers are 856, 784, 584
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(856, 784) = 83888
GCD(856, 784) = ( 856 x 784 ) / 83888
= 856 / 784
= 856
Step2:
LCM(8, 584) = 584
GCD(8, 584) = ( 8 x 584 ) / 584
= 8 / 584
= 8
So, Greatest Common Divisor of 856, 784, 584 is 8
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 856, 784, 584
Given numbers are 856, 784, 584
The greatest common divisor of numbers 856, 784, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 784, 584 is 8.
FAQs on GCD of 856, 784, 584 Calculator
1. What is the GCD of 856, 784, 584?
GCD of given numbers 856, 784, 584 is 8
2. How to calculate the greatest common divisor of 856, 784, 584?
We can find the highest common divisor of 856, 784, 584 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 856, 784, 584 i.e 8.
3. How can I use the GCD of 856, 784, 584Calculator?
Out the numbers 856, 784, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.