Online GCD Calculator is useful to find the GCD of 355, 286, 936, 112 quickly. Get the easiest ways to solve the greatest common divisor of 355, 286, 936, 112 i.e 1 in different methods as follows.
Given Input numbers are 355, 286, 936, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
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 (355, 286, 936, 112) = 1.
Given numbers are 355, 286, 936, 112
The list of prime factors of all numbers are
Prime factors of 355 are 5 x 71
Prime factors of 286 are 2 x 11 x 13
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 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 355, 286, 936, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(355, 286) = 101530
GCD(355, 286) = ( 355 x 286 ) / 101530
= 355 / 286
= 355
Step2:
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
= 1 / 936
= 1
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 355, 286, 936, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 355, 286, 936, 112
The greatest common divisor of numbers 355, 286, 936, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 286, 936, 112 is 1.
1. What is the GCD of 355, 286, 936, 112?
GCD of given numbers 355, 286, 936, 112 is 1
2. How to calculate the greatest common divisor of 355, 286, 936, 112?
We can find the highest common divisor of 355, 286, 936, 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 355, 286, 936, 112 i.e 1.
3. How can I use the GCD of 355, 286, 936, 112Calculator?
Out the numbers 355, 286, 936, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.