Online GCD Calculator is useful to find the GCD of 987, 287, 390, 914 quickly. Get the easiest ways to solve the greatest common divisor of 987, 287, 390, 914 i.e 1 in different methods as follows.
Given Input numbers are 987, 287, 390, 914
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 287 :
The positive integer divisors of 287 that completely divides 287 are.
1, 7, 41, 287
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
GCD of numbers is the greatest common divisor
So, the GCD (987, 287, 390, 914) = 1.
Given numbers are 987, 287, 390, 914
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 287 are 7 x 41
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 914 are 2 x 457
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 287, 390, 914
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 287) = 40467
GCD(987, 287) = ( 987 x 287 ) / 40467
= 987 / 287
= 987
Step2:
LCM(7, 390) = 2730
GCD(7, 390) = ( 7 x 390 ) / 2730
= 7 / 390
= 7
Step3:
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
= 1 / 914
= 1
So, Greatest Common Divisor of 987, 287, 390, 914 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 287, 390, 914
The greatest common divisor of numbers 987, 287, 390, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 287, 390, 914 is 1.
1. What is the GCD of 987, 287, 390, 914?
GCD of given numbers 987, 287, 390, 914 is 1
2. How to calculate the greatest common divisor of 987, 287, 390, 914?
We can find the highest common divisor of 987, 287, 390, 914 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, 287, 390, 914 i.e 1.
3. How can I use the GCD of 987, 287, 390, 914Calculator?
Out the numbers 987, 287, 390, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.