Online GCD Calculator is useful to find the GCD of 356, 230, 284, 828 quickly. Get the easiest ways to solve the greatest common divisor of 356, 230, 284, 828 i.e 2 in different methods as follows.
Given Input numbers are 356, 230, 284, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 230 :
The positive integer divisors of 230 that completely divides 230 are.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
GCD of numbers is the greatest common divisor
So, the GCD (356, 230, 284, 828) = 2.
Given numbers are 356, 230, 284, 828
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 230 are 2 x 5 x 23
Prime factors of 284 are 2 x 2 x 71
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 356, 230, 284, 828 is 2.
Given numbers are 356, 230, 284, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 230) = 40940
GCD(356, 230) = ( 356 x 230 ) / 40940
= 356 / 230
= 356
Step2:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
Step3:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
So, Greatest Common Divisor of 356, 230, 284, 828 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 230, 284, 828
The greatest common divisor of numbers 356, 230, 284, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 230, 284, 828 is 2.
1. What is the GCD of 356, 230, 284, 828?
GCD of given numbers 356, 230, 284, 828 is 2
2. How to calculate the greatest common divisor of 356, 230, 284, 828?
We can find the highest common divisor of 356, 230, 284, 828 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 356, 230, 284, 828 i.e 2.
3. How can I use the GCD of 356, 230, 284, 828Calculator?
Out the numbers 356, 230, 284, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.