Online GCD Calculator is useful to find the GCD of 261, 909, 207, 315 quickly. Get the easiest ways to solve the greatest common divisor of 261, 909, 207, 315 i.e 9 in different methods as follows.
Given Input numbers are 261, 909, 207, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
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
GCD of numbers is the greatest common divisor
So, the GCD (261, 909, 207, 315) = 9.
Given numbers are 261, 909, 207, 315
The list of prime factors of all numbers are
Prime factors of 261 are 3 x 3 x 29
Prime factors of 909 are 3 x 3 x 101
Prime factors of 207 are 3 x 3 x 23
Prime factors of 315 are 3 x 3 x 5 x 7
The highest common occurrence is 32
Therefore, GCD of 261, 909, 207, 315 is 9.
Given numbers are 261, 909, 207, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(261, 909) = 26361
GCD(261, 909) = ( 261 x 909 ) / 26361
= 261 / 909
= 261
Step2:
LCM(9, 207) = 207
GCD(9, 207) = ( 9 x 207 ) / 207
= 9 / 207
= 9
Step3:
LCM(9, 315) = 315
GCD(9, 315) = ( 9 x 315 ) / 315
= 9 / 315
= 9
So, Greatest Common Divisor of 261, 909, 207, 315 is 9
Here are some samples of GCD of Numbers calculations.
Given numbers are 261, 909, 207, 315
The greatest common divisor of numbers 261, 909, 207, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 909, 207, 315 is 9.
1. What is the GCD of 261, 909, 207, 315?
GCD of given numbers 261, 909, 207, 315 is 9
2. How to calculate the greatest common divisor of 261, 909, 207, 315?
We can find the highest common divisor of 261, 909, 207, 315 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 261, 909, 207, 315 i.e 9.
3. How can I use the GCD of 261, 909, 207, 315Calculator?
Out the numbers 261, 909, 207, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.