Online GCD Calculator is useful to find the GCD of 816, 978, 965, 987 quickly. Get the easiest ways to solve the greatest common divisor of 816, 978, 965, 987 i.e 1 in different methods as follows.
Given Input numbers are 816, 978, 965, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (816, 978, 965, 987) = 1.
Given numbers are 816, 978, 965, 987
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 978 are 2 x 3 x 163
Prime factors of 965 are 5 x 193
Prime factors of 987 are 3 x 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 816, 978, 965, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 978) = 133008
GCD(816, 978) = ( 816 x 978 ) / 133008
= 816 / 978
= 816
Step2:
LCM(6, 965) = 5790
GCD(6, 965) = ( 6 x 965 ) / 5790
= 6 / 965
= 6
Step3:
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
= 1 / 987
= 1
So, Greatest Common Divisor of 816, 978, 965, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 816, 978, 965, 987
The greatest common divisor of numbers 816, 978, 965, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 978, 965, 987 is 1.
1. What is the GCD of 816, 978, 965, 987?
GCD of given numbers 816, 978, 965, 987 is 1
2. How to calculate the greatest common divisor of 816, 978, 965, 987?
We can find the highest common divisor of 816, 978, 965, 987 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 816, 978, 965, 987 i.e 1.
3. How can I use the GCD of 816, 978, 965, 987Calculator?
Out the numbers 816, 978, 965, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.