Online GCD Calculator is useful to find the GCD of 584, 964, 164, 350 quickly. Get the easiest ways to solve the greatest common divisor of 584, 964, 164, 350 i.e 2 in different methods as follows.
Given Input numbers are 584, 964, 164, 350
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 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
GCD of numbers is the greatest common divisor
So, the GCD (584, 964, 164, 350) = 2.
Given numbers are 584, 964, 164, 350
The list of prime factors of all numbers are
Prime factors of 584 are 2 x 2 x 2 x 73
Prime factors of 964 are 2 x 2 x 241
Prime factors of 164 are 2 x 2 x 41
Prime factors of 350 are 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 584, 964, 164, 350 is 2.
Given numbers are 584, 964, 164, 350
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(584, 964) = 140744
GCD(584, 964) = ( 584 x 964 ) / 140744
= 584 / 964
= 584
Step2:
LCM(4, 164) = 164
GCD(4, 164) = ( 4 x 164 ) / 164
= 4 / 164
= 4
Step3:
LCM(4, 350) = 700
GCD(4, 350) = ( 4 x 350 ) / 700
= 4 / 350
= 4
So, Greatest Common Divisor of 584, 964, 164, 350 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 584, 964, 164, 350
The greatest common divisor of numbers 584, 964, 164, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 964, 164, 350 is 2.
1. What is the GCD of 584, 964, 164, 350?
GCD of given numbers 584, 964, 164, 350 is 2
2. How to calculate the greatest common divisor of 584, 964, 164, 350?
We can find the highest common divisor of 584, 964, 164, 350 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, 964, 164, 350 i.e 2.
3. How can I use the GCD of 584, 964, 164, 350Calculator?
Out the numbers 584, 964, 164, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.