Online GCD Calculator is useful to find the GCD of 987, 407, 109, 717 quickly. Get the easiest ways to solve the greatest common divisor of 987, 407, 109, 717 i.e 1 in different methods as follows.
Given Input numbers are 987, 407, 109, 717
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 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 717 :
The positive integer divisors of 717 that completely divides 717 are.
1, 3, 239, 717
GCD of numbers is the greatest common divisor
So, the GCD (987, 407, 109, 717) = 1.
Given numbers are 987, 407, 109, 717
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 407 are 11 x 37
Prime factors of 109 are 109
Prime factors of 717 are 3 x 239
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 407, 109, 717
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 407) = 401709
GCD(987, 407) = ( 987 x 407 ) / 401709
= 987 / 407
= 987
Step2:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
Step3:
LCM(1, 717) = 717
GCD(1, 717) = ( 1 x 717 ) / 717
= 1 / 717
= 1
So, Greatest Common Divisor of 987, 407, 109, 717 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 407, 109, 717
The greatest common divisor of numbers 987, 407, 109, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 407, 109, 717 is 1.
1. What is the GCD of 987, 407, 109, 717?
GCD of given numbers 987, 407, 109, 717 is 1
2. How to calculate the greatest common divisor of 987, 407, 109, 717?
We can find the highest common divisor of 987, 407, 109, 717 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, 407, 109, 717 i.e 1.
3. How can I use the GCD of 987, 407, 109, 717Calculator?
Out the numbers 987, 407, 109, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.