Online GCD Calculator is useful to find the GCD of 315, 141, 987 quickly. Get the easiest ways to solve the greatest common divisor of 315, 141, 987 i.e 3 in different methods as follows.
Given Input numbers are 315, 141, 987
In the factoring method, we have to find the divisors of all numbers
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 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
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 (315, 141, 987) = 3.
Given numbers are 315, 141, 987
The list of prime factors of all numbers are
Prime factors of 315 are 3 x 3 x 5 x 7
Prime factors of 141 are 3 x 47
Prime factors of 987 are 3 x 7 x 47
The highest common occurrence is 31
Therefore, GCD of 315, 141, 987 is 3.
Given numbers are 315, 141, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(315, 141) = 14805
GCD(315, 141) = ( 315 x 141 ) / 14805
= 315 / 141
= 315
Step2:
LCM(3, 987) = 987
GCD(3, 987) = ( 3 x 987 ) / 987
= 3 / 987
= 3
So, Greatest Common Divisor of 315, 141, 987 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 315, 141, 987
The greatest common divisor of numbers 315, 141, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 141, 987 is 3.
1. What is the GCD of 315, 141, 987?
GCD of given numbers 315, 141, 987 is 3
2. How to calculate the greatest common divisor of 315, 141, 987?
We can find the highest common divisor of 315, 141, 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 315, 141, 987 i.e 3.
3. How can I use the GCD of 315, 141, 987Calculator?
Out the numbers 315, 141, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.