Online GCD Calculator is useful to find the GCD of 354, 476, 904, 112 quickly. Get the easiest ways to solve the greatest common divisor of 354, 476, 904, 112 i.e 2 in different methods as follows.
Given Input numbers are 354, 476, 904, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (354, 476, 904, 112) = 2.
Given numbers are 354, 476, 904, 112
The list of prime factors of all numbers are
Prime factors of 354 are 2 x 3 x 59
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 354, 476, 904, 112 is 2.
Given numbers are 354, 476, 904, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(354, 476) = 84252
GCD(354, 476) = ( 354 x 476 ) / 84252
= 354 / 476
= 354
Step2:
LCM(2, 904) = 904
GCD(2, 904) = ( 2 x 904 ) / 904
= 2 / 904
= 2
Step3:
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
= 2 / 112
= 2
So, Greatest Common Divisor of 354, 476, 904, 112 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 354, 476, 904, 112
The greatest common divisor of numbers 354, 476, 904, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 476, 904, 112 is 2.
1. What is the GCD of 354, 476, 904, 112?
GCD of given numbers 354, 476, 904, 112 is 2
2. How to calculate the greatest common divisor of 354, 476, 904, 112?
We can find the highest common divisor of 354, 476, 904, 112 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 354, 476, 904, 112 i.e 2.
3. How can I use the GCD of 354, 476, 904, 112Calculator?
Out the numbers 354, 476, 904, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.