Online GCD Calculator is useful to find the GCD of 987, 353, 814 quickly. Get the easiest ways to solve the greatest common divisor of 987, 353, 814 i.e 1 in different methods as follows.
Given Input numbers are 987, 353, 814
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 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (987, 353, 814) = 1.
Given numbers are 987, 353, 814
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 353 are 353
Prime factors of 814 are 2 x 11 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 353, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 353) = 348411
GCD(987, 353) = ( 987 x 353 ) / 348411
= 987 / 353
= 987
Step2:
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
= 1 / 814
= 1
So, Greatest Common Divisor of 987, 353, 814 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 353, 814
The greatest common divisor of numbers 987, 353, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 353, 814 is 1.
1. What is the GCD of 987, 353, 814?
GCD of given numbers 987, 353, 814 is 1
2. How to calculate the greatest common divisor of 987, 353, 814?
We can find the highest common divisor of 987, 353, 814 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, 353, 814 i.e 1.
3. How can I use the GCD of 987, 353, 814Calculator?
Out the numbers 987, 353, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.