GCD of 918, 564, 217, 892 Calculator

Given Input numbers are 918, 564, 217, 892

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 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 918, 564, 217, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 564, 217, 892 is 1.

Therefore, GCD of numbers 918, 564, 217, 892 is 1

Given Input Data is 918, 564, 217, 892

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 564 is 2 x 2 x 3 x 47

Prime Factorization of 217 is 7 x 31

Prime Factorization of 892 is 2 x 2 x 223

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, 564) = 86292

GCD(918, 564) = ( 918 x 564 ) / 86292

GCD(918, 564) = 517752 / 86292

GCD(918, 564) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 217

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

LCM(6, 217) = 1302

GCD(6, 217) = ( 6 x 217 ) / 1302

GCD(6, 217) = 1302 / 1302

GCD(6, 217) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 918, 564, 217, 892 is 1

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1. What is the GCD of 918, 564, 217, 892?

GCD of 918, 564, 217, 892 is 1

2. Where do I get the detailed procedure to find GCD of 918, 564, 217, 892?

You can find a detailed procedure to find GCD of 918, 564, 217, 892 on our page.

3. How to find GCD of 918, 564, 217, 892 on a calculator?

You can find the GCD of 918, 564, 217, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.