Online GCD Calculator is useful to find the GCD of 856, 423, 338, 112 quickly. Get the easiest ways to solve the greatest common divisor of 856, 423, 338, 112 i.e 1 in different methods as follows.
Given Input numbers are 856, 423, 338, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
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 (856, 423, 338, 112) = 1.
Given numbers are 856, 423, 338, 112
The list of prime factors of all numbers are
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 423 are 3 x 3 x 47
Prime factors of 338 are 2 x 13 x 13
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 856, 423, 338, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(856, 423) = 362088
GCD(856, 423) = ( 856 x 423 ) / 362088
= 856 / 423
= 856
Step2:
LCM(1, 338) = 338
GCD(1, 338) = ( 1 x 338 ) / 338
= 1 / 338
= 1
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 856, 423, 338, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 856, 423, 338, 112
The greatest common divisor of numbers 856, 423, 338, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 423, 338, 112 is 1.
1. What is the GCD of 856, 423, 338, 112?
GCD of given numbers 856, 423, 338, 112 is 1
2. How to calculate the greatest common divisor of 856, 423, 338, 112?
We can find the highest common divisor of 856, 423, 338, 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 856, 423, 338, 112 i.e 1.
3. How can I use the GCD of 856, 423, 338, 112Calculator?
Out the numbers 856, 423, 338, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.