Online GCD Calculator is useful to find the GCD of 240, 615, 309, 957 quickly. Get the easiest ways to solve the greatest common divisor of 240, 615, 309, 957 i.e 3 in different methods as follows.
Given Input numbers are 240, 615, 309, 957
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
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 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
GCD of numbers is the greatest common divisor
So, the GCD (240, 615, 309, 957) = 3.
Given numbers are 240, 615, 309, 957
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 615 are 3 x 5 x 41
Prime factors of 309 are 3 x 103
Prime factors of 957 are 3 x 11 x 29
The highest common occurrence is 31
Therefore, GCD of 240, 615, 309, 957 is 3.
Given numbers are 240, 615, 309, 957
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 615) = 9840
GCD(240, 615) = ( 240 x 615 ) / 9840
= 240 / 615
= 240
Step2:
LCM(15, 309) = 1545
GCD(15, 309) = ( 15 x 309 ) / 1545
= 15 / 309
= 15
Step3:
LCM(3, 957) = 957
GCD(3, 957) = ( 3 x 957 ) / 957
= 3 / 957
= 3
So, Greatest Common Divisor of 240, 615, 309, 957 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 615, 309, 957
The greatest common divisor of numbers 240, 615, 309, 957 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 615, 309, 957 is 3.
1. What is the GCD of 240, 615, 309, 957?
GCD of given numbers 240, 615, 309, 957 is 3
2. How to calculate the greatest common divisor of 240, 615, 309, 957?
We can find the highest common divisor of 240, 615, 309, 957 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 240, 615, 309, 957 i.e 3.
3. How can I use the GCD of 240, 615, 309, 957Calculator?
Out the numbers 240, 615, 309, 957 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.