Online GCD Calculator is useful to find the GCD of 176, 784, 882, 398 quickly. Get the easiest ways to solve the greatest common divisor of 176, 784, 882, 398 i.e 2 in different methods as follows.
Given Input numbers are 176, 784, 882, 398
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 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
GCD of numbers is the greatest common divisor
So, the GCD (176, 784, 882, 398) = 2.
Given numbers are 176, 784, 882, 398
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 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 398 are 2 x 199
The highest common occurrence is 21
Therefore, GCD of 176, 784, 882, 398 is 2.
Given numbers are 176, 784, 882, 398
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(176, 784) = 8624
GCD(176, 784) = ( 176 x 784 ) / 8624
= 176 / 784
= 176
Step2:
LCM(16, 882) = 7056
GCD(16, 882) = ( 16 x 882 ) / 7056
= 16 / 882
= 16
Step3:
LCM(2, 398) = 398
GCD(2, 398) = ( 2 x 398 ) / 398
= 2 / 398
= 2
So, Greatest Common Divisor of 176, 784, 882, 398 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 176, 784, 882, 398
The greatest common divisor of numbers 176, 784, 882, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 176, 784, 882, 398 is 2.
1. What is the GCD of 176, 784, 882, 398?
GCD of given numbers 176, 784, 882, 398 is 2
2. How to calculate the greatest common divisor of 176, 784, 882, 398?
We can find the highest common divisor of 176, 784, 882, 398 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, 784, 882, 398 i.e 2.
3. How can I use the GCD of 176, 784, 882, 398Calculator?
Out the numbers 176, 784, 882, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.