Online GCD Calculator is useful to find the GCD of 987, 715, 587, 471 quickly. Get the easiest ways to solve the greatest common divisor of 987, 715, 587, 471 i.e 1 in different methods as follows.
Given Input numbers are 987, 715, 587, 471
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 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 587 :
The positive integer divisors of 587 that completely divides 587 are.
1, 587
Divisors of 471 :
The positive integer divisors of 471 that completely divides 471 are.
1, 3, 157, 471
GCD of numbers is the greatest common divisor
So, the GCD (987, 715, 587, 471) = 1.
Given numbers are 987, 715, 587, 471
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 715 are 5 x 11 x 13
Prime factors of 587 are 587
Prime factors of 471 are 3 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 715, 587, 471
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 715) = 705705
GCD(987, 715) = ( 987 x 715 ) / 705705
= 987 / 715
= 987
Step2:
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
= 1 / 587
= 1
Step3:
LCM(1, 471) = 471
GCD(1, 471) = ( 1 x 471 ) / 471
= 1 / 471
= 1
So, Greatest Common Divisor of 987, 715, 587, 471 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 715, 587, 471
The greatest common divisor of numbers 987, 715, 587, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 715, 587, 471 is 1.
1. What is the GCD of 987, 715, 587, 471?
GCD of given numbers 987, 715, 587, 471 is 1
2. How to calculate the greatest common divisor of 987, 715, 587, 471?
We can find the highest common divisor of 987, 715, 587, 471 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, 715, 587, 471 i.e 1.
3. How can I use the GCD of 987, 715, 587, 471Calculator?
Out the numbers 987, 715, 587, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.