GCD of 306, 960, 268, 135 Calculator

Given Input numbers are 306, 960, 268, 135

In the factoring method, we have to find the divisors of all numbers

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (306, 960, 268, 135) = 1.

Given numbers are 306, 960, 268, 135

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 268 are 2 x 2 x 67

Prime factors of 135 are 3 x 3 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 306, 960, 268, 135

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(306, 960) = 48960

GCD(306, 960) = ( 306 x 960 ) / 48960

= 306 / 960

= 306

Step2:

LCM(6, 268) = 804

GCD(6, 268) = ( 6 x 268 ) / 804

= 6 / 268

= 6

Step3:

LCM(2, 135) = 270

GCD(2, 135) = ( 2 x 135 ) / 270

= 2 / 135

= 2

So, Greatest Common Divisor of 306, 960, 268, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 440, 335, 188
• GCD of 502, 196, 298, 232
• GCD of 233, 383, 967, 231
• GCD of 714, 786, 441, 642
• GCD of 743, 432, 622, 962

Given numbers are 306, 960, 268, 135
The greatest common divisor of numbers 306, 960, 268, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 960, 268, 135 is 1.

1. What is the GCD of 306, 960, 268, 135?

GCD of given numbers 306, 960, 268, 135 is 1

2. How to calculate the greatest common divisor of 306, 960, 268, 135?

We can find the highest common divisor of 306, 960, 268, 135 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 306, 960, 268, 135 i.e 1.

3. How can I use the GCD of 306, 960, 268, 135Calculator?

Out the numbers 306, 960, 268, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.