GCD of 268, 960, 135, 414 Calculator

Given Input numbers are 268, 960, 135, 414

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

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 135

List of positive integer divisors of 135 that divides 135 without a remainder.

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 268, 960, 135, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 960, 135, 414 is 1.

Therefore, GCD of numbers 268, 960, 135, 414 is 1

Given Input Data is 268, 960, 135, 414

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 414 is 2 x 3 x 3 x 23

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(268, 960) = 64320

GCD(268, 960) = ( 268 x 960 ) / 64320

GCD(268, 960) = 257280 / 64320

GCD(268, 960) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 135

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

LCM(4, 135) = 540

GCD(4, 135) = ( 4 x 135 ) / 540

GCD(4, 135) = 540 / 540

GCD(4, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 268, 960, 135, 414 is 1

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1. What is the GCD of 268, 960, 135, 414?

GCD of 268, 960, 135, 414 is 1

2. Where do I get the detailed procedure to find GCD of 268, 960, 135, 414?

You can find a detailed procedure to find GCD of 268, 960, 135, 414 on our page.

3. How to find GCD of 268, 960, 135, 414 on a calculator?

You can find the GCD of 268, 960, 135, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.