GCD of 916, 224, 90, 154 Calculator

Given Input numbers are 916, 224, 90, 154

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Greatest Common Divisior

We found the divisors of 916, 224, 90, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 224, 90, 154 is 2.

Therefore, GCD of numbers 916, 224, 90, 154 is 2

Given Input Data is 916, 224, 90, 154

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 154 is 2 x 7 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(916, 224) = 51296

GCD(916, 224) = ( 916 x 224 ) / 51296

GCD(916, 224) = 205184 / 51296

GCD(916, 224) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 154

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

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

GCD(2, 154) = 308 / 154

GCD(2, 154) = 2

GCD of 916, 224, 90, 154 is 2

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1. What is the GCD of 916, 224, 90, 154?

GCD of 916, 224, 90, 154 is 2

2. Where do I get the detailed procedure to find GCD of 916, 224, 90, 154?

You can find a detailed procedure to find GCD of 916, 224, 90, 154 on our page.

3. How to find GCD of 916, 224, 90, 154 on a calculator?

You can find the GCD of 916, 224, 90, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.