Online GCD Calculator is useful to find the GCD of 987, 984, 931, 718 quickly. Get the easiest ways to solve the greatest common divisor of 987, 984, 931, 718 i.e 1 in different methods as follows.
Given Input numbers are 987, 984, 931, 718
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 984 :
The positive integer divisors of 984 that completely divides 984 are.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Divisors of 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
GCD of numbers is the greatest common divisor
So, the GCD (987, 984, 931, 718) = 1.
Given numbers are 987, 984, 931, 718
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 984 are 2 x 2 x 2 x 3 x 41
Prime factors of 931 are 7 x 7 x 19
Prime factors of 718 are 2 x 359
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 984, 931, 718
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 984) = 323736
GCD(987, 984) = ( 987 x 984 ) / 323736
= 987 / 984
= 987
Step2:
LCM(3, 931) = 2793
GCD(3, 931) = ( 3 x 931 ) / 2793
= 3 / 931
= 3
Step3:
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
= 1 / 718
= 1
So, Greatest Common Divisor of 987, 984, 931, 718 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 984, 931, 718
The greatest common divisor of numbers 987, 984, 931, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 984, 931, 718 is 1.
1. What is the GCD of 987, 984, 931, 718?
GCD of given numbers 987, 984, 931, 718 is 1
2. How to calculate the greatest common divisor of 987, 984, 931, 718?
We can find the highest common divisor of 987, 984, 931, 718 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, 984, 931, 718 i.e 1.
3. How can I use the GCD of 987, 984, 931, 718Calculator?
Out the numbers 987, 984, 931, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.