Online GCD Calculator is useful to find the GCD of 954, 315, 873, 987 quickly. Get the easiest ways to solve the greatest common divisor of 954, 315, 873, 987 i.e 3 in different methods as follows.
Given Input numbers are 954, 315, 873, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 954 :
The positive integer divisors of 954 that completely divides 954 are.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 873 :
The positive integer divisors of 873 that completely divides 873 are.
1, 3, 9, 97, 291, 873
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 (954, 315, 873, 987) = 3.
Given numbers are 954, 315, 873, 987
The list of prime factors of all numbers are
Prime factors of 954 are 2 x 3 x 3 x 53
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 873 are 3 x 3 x 97
Prime factors of 987 are 3 x 7 x 47
The highest common occurrence is 31
Therefore, GCD of 954, 315, 873, 987 is 3.
Given numbers are 954, 315, 873, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(954, 315) = 33390
GCD(954, 315) = ( 954 x 315 ) / 33390
= 954 / 315
= 954
Step2:
LCM(9, 873) = 873
GCD(9, 873) = ( 9 x 873 ) / 873
= 9 / 873
= 9
Step3:
LCM(9, 987) = 2961
GCD(9, 987) = ( 9 x 987 ) / 2961
= 9 / 987
= 9
So, Greatest Common Divisor of 954, 315, 873, 987 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 954, 315, 873, 987
The greatest common divisor of numbers 954, 315, 873, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 315, 873, 987 is 3.
1. What is the GCD of 954, 315, 873, 987?
GCD of given numbers 954, 315, 873, 987 is 3
2. How to calculate the greatest common divisor of 954, 315, 873, 987?
We can find the highest common divisor of 954, 315, 873, 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 954, 315, 873, 987 i.e 3.
3. How can I use the GCD of 954, 315, 873, 987Calculator?
Out the numbers 954, 315, 873, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.