GCD of 918, 492, 286, 445 Calculator

Given Input numbers are 918, 492, 286, 445

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 286

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

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

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 918, 492, 286, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 492, 286, 445 is 1.

Therefore, GCD of numbers 918, 492, 286, 445 is 1

Given Input Data is 918, 492, 286, 445

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 445 is 5 x 89

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(918, 492) = 75276

GCD(918, 492) = ( 918 x 492 ) / 75276

GCD(918, 492) = 451656 / 75276

GCD(918, 492) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 286

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

LCM(6, 286) = 858

GCD(6, 286) = ( 6 x 286 ) / 858

GCD(6, 286) = 1716 / 858

GCD(6, 286) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 445

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

LCM(2, 445) = 890

GCD(2, 445) = ( 2 x 445 ) / 890

GCD(2, 445) = 890 / 890

GCD(2, 445) = 1

GCD of 918, 492, 286, 445 is 1

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• GCD of 761, 524, 947, 784
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1. What is the GCD of 918, 492, 286, 445?

GCD of 918, 492, 286, 445 is 1

2. Where do I get the detailed procedure to find GCD of 918, 492, 286, 445?

You can find a detailed procedure to find GCD of 918, 492, 286, 445 on our page.

3. How to find GCD of 918, 492, 286, 445 on a calculator?

You can find the GCD of 918, 492, 286, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.