Online GCD Calculator is useful to find the GCD of 112, 284, 370, 789 quickly. Get the easiest ways to solve the greatest common divisor of 112, 284, 370, 789 i.e 1 in different methods as follows.
Given Input numbers are 112, 284, 370, 789
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (112, 284, 370, 789) = 1.
Given numbers are 112, 284, 370, 789
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 284 are 2 x 2 x 71
Prime factors of 370 are 2 x 5 x 37
Prime factors of 789 are 3 x 263
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 112, 284, 370, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 284) = 7952
GCD(112, 284) = ( 112 x 284 ) / 7952
= 112 / 284
= 112
Step2:
LCM(4, 370) = 740
GCD(4, 370) = ( 4 x 370 ) / 740
= 4 / 370
= 4
Step3:
LCM(2, 789) = 1578
GCD(2, 789) = ( 2 x 789 ) / 1578
= 2 / 789
= 2
So, Greatest Common Divisor of 112, 284, 370, 789 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 284, 370, 789
The greatest common divisor of numbers 112, 284, 370, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 284, 370, 789 is 1.
1. What is the GCD of 112, 284, 370, 789?
GCD of given numbers 112, 284, 370, 789 is 1
2. How to calculate the greatest common divisor of 112, 284, 370, 789?
We can find the highest common divisor of 112, 284, 370, 789 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 112, 284, 370, 789 i.e 1.
3. How can I use the GCD of 112, 284, 370, 789Calculator?
Out the numbers 112, 284, 370, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.