Online GCD Calculator is useful to find the GCD of 987, 287, 517, 698 quickly. Get the easiest ways to solve the greatest common divisor of 987, 287, 517, 698 i.e 1 in different methods as follows.
Given Input numbers are 987, 287, 517, 698
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 517 :
The positive integer divisors of 517 that completely divides 517 are.
1, 11, 47, 517
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (987, 287, 517, 698) = 1.
Given numbers are 987, 287, 517, 698
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 517 are 11 x 47
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 287, 517, 698
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, 517) = 3619
GCD(7, 517) = ( 7 x 517 ) / 3619
= 7 / 517
= 7
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 987, 287, 517, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 287, 517, 698
The greatest common divisor of numbers 987, 287, 517, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 287, 517, 698 is 1.
1. What is the GCD of 987, 287, 517, 698?
GCD of given numbers 987, 287, 517, 698 is 1
2. How to calculate the greatest common divisor of 987, 287, 517, 698?
We can find the highest common divisor of 987, 287, 517, 698 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, 517, 698 i.e 1.
3. How can I use the GCD of 987, 287, 517, 698Calculator?
Out the numbers 987, 287, 517, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.