GCD of 918, 430, 10, 264 Calculator

Given Input numbers are 918, 430, 10, 264

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 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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

Greatest Common Divisior

We found the divisors of 918, 430, 10, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 430, 10, 264 is 2.

Therefore, GCD of numbers 918, 430, 10, 264 is 2

Given Input Data is 918, 430, 10, 264

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 430 is 2 x 5 x 43

Prime Factorization of 10 is 2 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 430) = 197370

GCD(918, 430) = ( 918 x 430 ) / 197370

GCD(918, 430) = 394740 / 197370

GCD(918, 430) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 918, 430, 10, 264 is 2

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• GCD of 761, 822, 31, 184
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1. What is the GCD of 918, 430, 10, 264?

GCD of 918, 430, 10, 264 is 2

2. Where do I get the detailed procedure to find GCD of 918, 430, 10, 264?

You can find a detailed procedure to find GCD of 918, 430, 10, 264 on our page.

3. How to find GCD of 918, 430, 10, 264 on a calculator?

You can find the GCD of 918, 430, 10, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.