Online GCD Calculator is useful to find the GCD of 104, 832, 976, 404 quickly. Get the easiest ways to solve the greatest common divisor of 104, 832, 976, 404 i.e 4 in different methods as follows.
Given Input numbers are 104, 832, 976, 404
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (104, 832, 976, 404) = 4.
Given numbers are 104, 832, 976, 404
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 404 are 2 x 2 x 101
The highest common occurrence is 22
Therefore, GCD of 104, 832, 976, 404 is 4.
Given numbers are 104, 832, 976, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 832) = 832
GCD(104, 832) = ( 104 x 832 ) / 832
= 104 / 832
= 104
Step2:
LCM(104, 976) = 12688
GCD(104, 976) = ( 104 x 976 ) / 12688
= 104 / 976
= 104
Step3:
LCM(8, 404) = 808
GCD(8, 404) = ( 8 x 404 ) / 808
= 8 / 404
= 8
So, Greatest Common Divisor of 104, 832, 976, 404 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 832, 976, 404
The greatest common divisor of numbers 104, 832, 976, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 832, 976, 404 is 4.
1. What is the GCD of 104, 832, 976, 404?
GCD of given numbers 104, 832, 976, 404 is 4
2. How to calculate the greatest common divisor of 104, 832, 976, 404?
We can find the highest common divisor of 104, 832, 976, 404 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 104, 832, 976, 404 i.e 4.
3. How can I use the GCD of 104, 832, 976, 404Calculator?
Out the numbers 104, 832, 976, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.