GCD of 278, 528, 90, 136 Calculator

Given Input numbers are 278, 528, 90, 136

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 278, 528, 90, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 528, 90, 136 is 2.

Therefore, GCD of numbers 278, 528, 90, 136 is 2

Given Input Data is 278, 528, 90, 136

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

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(278, 528) = 73392

GCD(278, 528) = ( 278 x 528 ) / 73392

GCD(278, 528) = 146784 / 73392

GCD(278, 528) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 136

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

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

GCD(2, 136) = 272 / 136

GCD(2, 136) = 2

GCD of 278, 528, 90, 136 is 2

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1. What is the GCD of 278, 528, 90, 136?

GCD of 278, 528, 90, 136 is 2

2. Where do I get the detailed procedure to find GCD of 278, 528, 90, 136?

You can find a detailed procedure to find GCD of 278, 528, 90, 136 on our page.

3. How to find GCD of 278, 528, 90, 136 on a calculator?

You can find the GCD of 278, 528, 90, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.