GCD of 264, 440, 69, 286 Calculator

Given Input numbers are 264, 440, 69, 286

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 264, 440, 69, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 440, 69, 286 is 1.

Therefore, GCD of numbers 264, 440, 69, 286 is 1

Given Input Data is 264, 440, 69, 286

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 69 is 3 x 23

Prime Factorization of 286 is 2 x 11 x 13

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(264, 440) = 1320

GCD(264, 440) = ( 264 x 440 ) / 1320

GCD(264, 440) = 116160 / 1320

GCD(264, 440) = 88

Step2:

Here we consider the GCD from the above i.e. 88 as first number and the next as 69

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

LCM(88, 69) = 6072

GCD(88, 69) = ( 88 x 69 ) / 6072

GCD(88, 69) = 6072 / 6072

GCD(88, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 264, 440, 69, 286 is 1

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• GCD of 435, 798, 89, 588
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• GCD of 399, 393, 31, 202

1. What is the GCD of 264, 440, 69, 286?

GCD of 264, 440, 69, 286 is 1

2. Where do I get the detailed procedure to find GCD of 264, 440, 69, 286?

You can find a detailed procedure to find GCD of 264, 440, 69, 286 on our page.

3. How to find GCD of 264, 440, 69, 286 on a calculator?

You can find the GCD of 264, 440, 69, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.