GCD of 918, 954, 98, 318 Calculator

Given Input numbers are 918, 954, 98, 318

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 918, 954, 98, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 954, 98, 318 is 2.

Therefore, GCD of numbers 918, 954, 98, 318 is 2

Given Input Data is 918, 954, 98, 318

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 954 is 2 x 3 x 3 x 53

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 318 is 2 x 3 x 53

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, 954) = 48654

GCD(918, 954) = ( 918 x 954 ) / 48654

GCD(918, 954) = 875772 / 48654

GCD(918, 954) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 98

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

LCM(18, 98) = 882

GCD(18, 98) = ( 18 x 98 ) / 882

GCD(18, 98) = 1764 / 882

GCD(18, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 318

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

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

GCD(2, 318) = 636 / 318

GCD(2, 318) = 2

GCD of 918, 954, 98, 318 is 2

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1. What is the GCD of 918, 954, 98, 318?

GCD of 918, 954, 98, 318 is 2

2. Where do I get the detailed procedure to find GCD of 918, 954, 98, 318?

You can find a detailed procedure to find GCD of 918, 954, 98, 318 on our page.

3. How to find GCD of 918, 954, 98, 318 on a calculator?

You can find the GCD of 918, 954, 98, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.