Online GCD Calculator is useful to find the GCD of 664, 200, 352, 828 quickly. Get the easiest ways to solve the greatest common divisor of 664, 200, 352, 828 i.e 4 in different methods as follows.
Given Input numbers are 664, 200, 352, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
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 (664, 200, 352, 828) = 4.
Given numbers are 664, 200, 352, 828
The list of prime factors of all numbers are
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 22
Therefore, GCD of 664, 200, 352, 828 is 4.
Given numbers are 664, 200, 352, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(664, 200) = 16600
GCD(664, 200) = ( 664 x 200 ) / 16600
= 664 / 200
= 664
Step2:
LCM(8, 352) = 352
GCD(8, 352) = ( 8 x 352 ) / 352
= 8 / 352
= 8
Step3:
LCM(8, 828) = 1656
GCD(8, 828) = ( 8 x 828 ) / 1656
= 8 / 828
= 8
So, Greatest Common Divisor of 664, 200, 352, 828 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 664, 200, 352, 828
The greatest common divisor of numbers 664, 200, 352, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 200, 352, 828 is 4.
1. What is the GCD of 664, 200, 352, 828?
GCD of given numbers 664, 200, 352, 828 is 4
2. How to calculate the greatest common divisor of 664, 200, 352, 828?
We can find the highest common divisor of 664, 200, 352, 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 664, 200, 352, 828 i.e 4.
3. How can I use the GCD of 664, 200, 352, 828Calculator?
Out the numbers 664, 200, 352, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.