Online GCD Calculator is useful to find the GCD of 408, 178, 358, 958 quickly. Get the easiest ways to solve the greatest common divisor of 408, 178, 358, 958 i.e 2 in different methods as follows.
Given Input numbers are 408, 178, 358, 958
In the factoring method, we have to find the divisors of all numbers
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 178 :
The positive integer divisors of 178 that completely divides 178 are.
1, 2, 89, 178
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
GCD of numbers is the greatest common divisor
So, the GCD (408, 178, 358, 958) = 2.
Given numbers are 408, 178, 358, 958
The list of prime factors of all numbers are
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 178 are 2 x 89
Prime factors of 358 are 2 x 179
Prime factors of 958 are 2 x 479
The highest common occurrence is 21
Therefore, GCD of 408, 178, 358, 958 is 2.
Given numbers are 408, 178, 358, 958
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(408, 178) = 36312
GCD(408, 178) = ( 408 x 178 ) / 36312
= 408 / 178
= 408
Step2:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
Step3:
LCM(2, 958) = 958
GCD(2, 958) = ( 2 x 958 ) / 958
= 2 / 958
= 2
So, Greatest Common Divisor of 408, 178, 358, 958 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 408, 178, 358, 958
The greatest common divisor of numbers 408, 178, 358, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 178, 358, 958 is 2.
1. What is the GCD of 408, 178, 358, 958?
GCD of given numbers 408, 178, 358, 958 is 2
2. How to calculate the greatest common divisor of 408, 178, 358, 958?
We can find the highest common divisor of 408, 178, 358, 958 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 408, 178, 358, 958 i.e 2.
3. How can I use the GCD of 408, 178, 358, 958Calculator?
Out the numbers 408, 178, 358, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.