GCD of 240, 615, 309, 957 Calculator

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.

• GCD of 547, 684, 192, 675
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• GCD of 594, 842, 756, 929

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.