Online GCD Calculator is useful to find the GCD of 584, 696, 336, 858 quickly. Get the easiest ways to solve the greatest common divisor of 584, 696, 336, 858 i.e 2 in different methods as follows.
Given Input numbers are 584, 696, 336, 858
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 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
GCD of numbers is the greatest common divisor
So, the GCD (584, 696, 336, 858) = 2.
Given numbers are 584, 696, 336, 858
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 858 are 2 x 3 x 11 x 13
The highest common occurrence is 21
Therefore, GCD of 584, 696, 336, 858 is 2.
Given numbers are 584, 696, 336, 858
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 696) = 50808
GCD(584, 696) = ( 584 x 696 ) / 50808
= 584 / 696
= 584
Step2:
LCM(8, 336) = 336
GCD(8, 336) = ( 8 x 336 ) / 336
= 8 / 336
= 8
Step3:
LCM(8, 858) = 3432
GCD(8, 858) = ( 8 x 858 ) / 3432
= 8 / 858
= 8
So, Greatest Common Divisor of 584, 696, 336, 858 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 696, 336, 858
The greatest common divisor of numbers 584, 696, 336, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 696, 336, 858 is 2.
1. What is the GCD of 584, 696, 336, 858?
GCD of given numbers 584, 696, 336, 858 is 2
2. How to calculate the greatest common divisor of 584, 696, 336, 858?
We can find the highest common divisor of 584, 696, 336, 858 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, 696, 336, 858 i.e 2.
3. How can I use the GCD of 584, 696, 336, 858Calculator?
Out the numbers 584, 696, 336, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.