Online GCD Calculator is useful to find the GCD of 830, 176, 384, 676 quickly. Get the easiest ways to solve the greatest common divisor of 830, 176, 384, 676 i.e 2 in different methods as follows.
Given Input numbers are 830, 176, 384, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
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 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (830, 176, 384, 676) = 2.
Given numbers are 830, 176, 384, 676
The list of prime factors of all numbers are
Prime factors of 830 are 2 x 5 x 83
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 830, 176, 384, 676 is 2.
Given numbers are 830, 176, 384, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(830, 176) = 73040
GCD(830, 176) = ( 830 x 176 ) / 73040
= 830 / 176
= 830
Step2:
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
= 2 / 384
= 2
Step3:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 830, 176, 384, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 830, 176, 384, 676
The greatest common divisor of numbers 830, 176, 384, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 176, 384, 676 is 2.
1. What is the GCD of 830, 176, 384, 676?
GCD of given numbers 830, 176, 384, 676 is 2
2. How to calculate the greatest common divisor of 830, 176, 384, 676?
We can find the highest common divisor of 830, 176, 384, 676 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 830, 176, 384, 676 i.e 2.
3. How can I use the GCD of 830, 176, 384, 676Calculator?
Out the numbers 830, 176, 384, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.