Online GCD Calculator is useful to find the GCD of 905, 987, 107, 918 quickly. Get the easiest ways to solve the greatest common divisor of 905, 987, 107, 918 i.e 1 in different methods as follows.
Given Input numbers are 905, 987, 107, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 905 :
The positive integer divisors of 905 that completely divides 905 are.
1, 5, 181, 905
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
GCD of numbers is the greatest common divisor
So, the GCD (905, 987, 107, 918) = 1.
Given numbers are 905, 987, 107, 918
The list of prime factors of all numbers are
Prime factors of 905 are 5 x 181
Prime factors of 987 are 3 x 7 x 47
Prime factors of 107 are 107
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 905, 987, 107, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(905, 987) = 893235
GCD(905, 987) = ( 905 x 987 ) / 893235
= 905 / 987
= 905
Step2:
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
= 1 / 107
= 1
Step3:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
So, Greatest Common Divisor of 905, 987, 107, 918 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 905, 987, 107, 918
The greatest common divisor of numbers 905, 987, 107, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 905, 987, 107, 918 is 1.
1. What is the GCD of 905, 987, 107, 918?
GCD of given numbers 905, 987, 107, 918 is 1
2. How to calculate the greatest common divisor of 905, 987, 107, 918?
We can find the highest common divisor of 905, 987, 107, 918 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 905, 987, 107, 918 i.e 1.
3. How can I use the GCD of 905, 987, 107, 918Calculator?
Out the numbers 905, 987, 107, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.