Online GCD Calculator is useful to find the GCD of 987, 204, 867, 112 quickly. Get the easiest ways to solve the greatest common divisor of 987, 204, 867, 112 i.e 1 in different methods as follows.
Given Input numbers are 987, 204, 867, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 204 :
The positive integer divisors of 204 that completely divides 204 are.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
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 (987, 204, 867, 112) = 1.
Given numbers are 987, 204, 867, 112
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 204 are 2 x 2 x 3 x 17
Prime factors of 867 are 3 x 17 x 17
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 987, 204, 867, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 204) = 67116
GCD(987, 204) = ( 987 x 204 ) / 67116
= 987 / 204
= 987
Step2:
LCM(3, 867) = 867
GCD(3, 867) = ( 3 x 867 ) / 867
= 3 / 867
= 3
Step3:
LCM(3, 112) = 336
GCD(3, 112) = ( 3 x 112 ) / 336
= 3 / 112
= 3
So, Greatest Common Divisor of 987, 204, 867, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 204, 867, 112
The greatest common divisor of numbers 987, 204, 867, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 204, 867, 112 is 1.
1. What is the GCD of 987, 204, 867, 112?
GCD of given numbers 987, 204, 867, 112 is 1
2. How to calculate the greatest common divisor of 987, 204, 867, 112?
We can find the highest common divisor of 987, 204, 867, 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 987, 204, 867, 112 i.e 1.
3. How can I use the GCD of 987, 204, 867, 112Calculator?
Out the numbers 987, 204, 867, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.