Online GCD Calculator is useful to find the GCD of 987, 442, 809, 106 quickly. Get the easiest ways to solve the greatest common divisor of 987, 442, 809, 106 i.e 1 in different methods as follows.
Given Input numbers are 987, 442, 809, 106
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 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 809 :
The positive integer divisors of 809 that completely divides 809 are.
1, 809
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
GCD of numbers is the greatest common divisor
So, the GCD (987, 442, 809, 106) = 1.
Given numbers are 987, 442, 809, 106
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 442 are 2 x 13 x 17
Prime factors of 809 are 809
Prime factors of 106 are 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 442, 809, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 442) = 436254
GCD(987, 442) = ( 987 x 442 ) / 436254
= 987 / 442
= 987
Step2:
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
= 1 / 809
= 1
Step3:
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
= 1 / 106
= 1
So, Greatest Common Divisor of 987, 442, 809, 106 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 442, 809, 106
The greatest common divisor of numbers 987, 442, 809, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 442, 809, 106 is 1.
1. What is the GCD of 987, 442, 809, 106?
GCD of given numbers 987, 442, 809, 106 is 1
2. How to calculate the greatest common divisor of 987, 442, 809, 106?
We can find the highest common divisor of 987, 442, 809, 106 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, 442, 809, 106 i.e 1.
3. How can I use the GCD of 987, 442, 809, 106Calculator?
Out the numbers 987, 442, 809, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.