Online GCD Calculator is useful to find the GCD of 588, 398, 174, 854 quickly. Get the easiest ways to solve the greatest common divisor of 588, 398, 174, 854 i.e 2 in different methods as follows.
Given Input numbers are 588, 398, 174, 854
In the factoring method, we have to find the divisors of all numbers
Divisors of 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (588, 398, 174, 854) = 2.
Given numbers are 588, 398, 174, 854
The list of prime factors of all numbers are
Prime factors of 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 398 are 2 x 199
Prime factors of 174 are 2 x 3 x 29
Prime factors of 854 are 2 x 7 x 61
The highest common occurrence is 21
Therefore, GCD of 588, 398, 174, 854 is 2.
Given numbers are 588, 398, 174, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(588, 398) = 117012
GCD(588, 398) = ( 588 x 398 ) / 117012
= 588 / 398
= 588
Step2:
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
= 2 / 174
= 2
Step3:
LCM(2, 854) = 854
GCD(2, 854) = ( 2 x 854 ) / 854
= 2 / 854
= 2
So, Greatest Common Divisor of 588, 398, 174, 854 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 588, 398, 174, 854
The greatest common divisor of numbers 588, 398, 174, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 398, 174, 854 is 2.
1. What is the GCD of 588, 398, 174, 854?
GCD of given numbers 588, 398, 174, 854 is 2
2. How to calculate the greatest common divisor of 588, 398, 174, 854?
We can find the highest common divisor of 588, 398, 174, 854 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 588, 398, 174, 854 i.e 2.
3. How can I use the GCD of 588, 398, 174, 854Calculator?
Out the numbers 588, 398, 174, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.