Online GCD Calculator is useful to find the GCD of 176, 284, 160, 828 quickly. Get the easiest ways to solve the greatest common divisor of 176, 284, 160, 828 i.e 4 in different methods as follows.
Given Input numbers are 176, 284, 160, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 (176, 284, 160, 828) = 4.
Given numbers are 176, 284, 160, 828
The list of prime factors of all numbers are
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 284 are 2 x 2 x 71
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 22
Therefore, GCD of 176, 284, 160, 828 is 4.
Given numbers are 176, 284, 160, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 284) = 12496
GCD(176, 284) = ( 176 x 284 ) / 12496
= 176 / 284
= 176
Step2:
LCM(4, 160) = 160
GCD(4, 160) = ( 4 x 160 ) / 160
= 4 / 160
= 4
Step3:
LCM(4, 828) = 828
GCD(4, 828) = ( 4 x 828 ) / 828
= 4 / 828
= 4
So, Greatest Common Divisor of 176, 284, 160, 828 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 176, 284, 160, 828
The greatest common divisor of numbers 176, 284, 160, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 284, 160, 828 is 4.
1. What is the GCD of 176, 284, 160, 828?
GCD of given numbers 176, 284, 160, 828 is 4
2. How to calculate the greatest common divisor of 176, 284, 160, 828?
We can find the highest common divisor of 176, 284, 160, 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 176, 284, 160, 828 i.e 4.
3. How can I use the GCD of 176, 284, 160, 828Calculator?
Out the numbers 176, 284, 160, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.