Online GCD Calculator is useful to find the GCD of 615, 603, 771, 270 quickly. Get the easiest ways to solve the greatest common divisor of 615, 603, 771, 270 i.e 3 in different methods as follows.
Given Input numbers are 615, 603, 771, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 603 :
The positive integer divisors of 603 that completely divides 603 are.
1, 3, 9, 67, 201, 603
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (615, 603, 771, 270) = 3.
Given numbers are 615, 603, 771, 270
The list of prime factors of all numbers are
Prime factors of 615 are 3 x 5 x 41
Prime factors of 603 are 3 x 3 x 67
Prime factors of 771 are 3 x 257
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 615, 603, 771, 270 is 3.
Given numbers are 615, 603, 771, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(615, 603) = 123615
GCD(615, 603) = ( 615 x 603 ) / 123615
= 615 / 603
= 615
Step2:
LCM(3, 771) = 771
GCD(3, 771) = ( 3 x 771 ) / 771
= 3 / 771
= 3
Step3:
LCM(3, 270) = 270
GCD(3, 270) = ( 3 x 270 ) / 270
= 3 / 270
= 3
So, Greatest Common Divisor of 615, 603, 771, 270 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 615, 603, 771, 270
The greatest common divisor of numbers 615, 603, 771, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 615, 603, 771, 270 is 3.
1. What is the GCD of 615, 603, 771, 270?
GCD of given numbers 615, 603, 771, 270 is 3
2. How to calculate the greatest common divisor of 615, 603, 771, 270?
We can find the highest common divisor of 615, 603, 771, 270 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 615, 603, 771, 270 i.e 3.
3. How can I use the GCD of 615, 603, 771, 270Calculator?
Out the numbers 615, 603, 771, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.