Online GCD Calculator is useful to find the GCD of 361, 889, 764, 112 quickly. Get the easiest ways to solve the greatest common divisor of 361, 889, 764, 112 i.e 1 in different methods as follows.
Given Input numbers are 361, 889, 764, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
Divisors of 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
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 (361, 889, 764, 112) = 1.
Given numbers are 361, 889, 764, 112
The list of prime factors of all numbers are
Prime factors of 361 are 19 x 19
Prime factors of 889 are 7 x 127
Prime factors of 764 are 2 x 2 x 191
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 361, 889, 764, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(361, 889) = 320929
GCD(361, 889) = ( 361 x 889 ) / 320929
= 361 / 889
= 361
Step2:
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
= 1 / 764
= 1
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 361, 889, 764, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 361, 889, 764, 112
The greatest common divisor of numbers 361, 889, 764, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 889, 764, 112 is 1.
1. What is the GCD of 361, 889, 764, 112?
GCD of given numbers 361, 889, 764, 112 is 1
2. How to calculate the greatest common divisor of 361, 889, 764, 112?
We can find the highest common divisor of 361, 889, 764, 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 361, 889, 764, 112 i.e 1.
3. How can I use the GCD of 361, 889, 764, 112Calculator?
Out the numbers 361, 889, 764, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.