Online GCD Calculator is useful to find the GCD of 987, 814, 982, 502 quickly. Get the easiest ways to solve the greatest common divisor of 987, 814, 982, 502 i.e 1 in different methods as follows.
Given Input numbers are 987, 814, 982, 502
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 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
GCD of numbers is the greatest common divisor
So, the GCD (987, 814, 982, 502) = 1.
Given numbers are 987, 814, 982, 502
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 814 are 2 x 11 x 37
Prime factors of 982 are 2 x 491
Prime factors of 502 are 2 x 251
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 814, 982, 502
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 814) = 803418
GCD(987, 814) = ( 987 x 814 ) / 803418
= 987 / 814
= 987
Step2:
LCM(1, 982) = 982
GCD(1, 982) = ( 1 x 982 ) / 982
= 1 / 982
= 1
Step3:
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
= 1 / 502
= 1
So, Greatest Common Divisor of 987, 814, 982, 502 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 814, 982, 502
The greatest common divisor of numbers 987, 814, 982, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 814, 982, 502 is 1.
1. What is the GCD of 987, 814, 982, 502?
GCD of given numbers 987, 814, 982, 502 is 1
2. How to calculate the greatest common divisor of 987, 814, 982, 502?
We can find the highest common divisor of 987, 814, 982, 502 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, 814, 982, 502 i.e 1.
3. How can I use the GCD of 987, 814, 982, 502Calculator?
Out the numbers 987, 814, 982, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.