Online GCD Calculator is useful to find the GCD of 207, 615, 309, 156 quickly. Get the easiest ways to solve the greatest common divisor of 207, 615, 309, 156 i.e 3 in different methods as follows.
Given Input numbers are 207, 615, 309, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (207, 615, 309, 156) = 3.
Given numbers are 207, 615, 309, 156
The list of prime factors of all numbers are
Prime factors of 207 are 3 x 3 x 23
Prime factors of 615 are 3 x 5 x 41
Prime factors of 309 are 3 x 103
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 207, 615, 309, 156 is 3.
Given numbers are 207, 615, 309, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(207, 615) = 42435
GCD(207, 615) = ( 207 x 615 ) / 42435
= 207 / 615
= 207
Step2:
LCM(3, 309) = 309
GCD(3, 309) = ( 3 x 309 ) / 309
= 3 / 309
= 3
Step3:
LCM(3, 156) = 156
GCD(3, 156) = ( 3 x 156 ) / 156
= 3 / 156
= 3
So, Greatest Common Divisor of 207, 615, 309, 156 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 207, 615, 309, 156
The greatest common divisor of numbers 207, 615, 309, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 615, 309, 156 is 3.
1. What is the GCD of 207, 615, 309, 156?
GCD of given numbers 207, 615, 309, 156 is 3
2. How to calculate the greatest common divisor of 207, 615, 309, 156?
We can find the highest common divisor of 207, 615, 309, 156 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 207, 615, 309, 156 i.e 3.
3. How can I use the GCD of 207, 615, 309, 156Calculator?
Out the numbers 207, 615, 309, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.