GCD of 428, 880, 90, 298 Calculator

Given Input numbers are 428, 880, 90, 298

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 428, 880, 90, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 880, 90, 298 is 2.

Therefore, GCD of numbers 428, 880, 90, 298 is 2

Given Input Data is 428, 880, 90, 298

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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

Prime Factorization of 298 is 2 x 149

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(428, 880) = 94160

GCD(428, 880) = ( 428 x 880 ) / 94160

GCD(428, 880) = 376640 / 94160

GCD(428, 880) = 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 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

GCD of 428, 880, 90, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 124, 79, 705
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• GCD of 979, 418, 29, 445
• GCD of 808, 145, 84, 469

1. What is the GCD of 428, 880, 90, 298?

GCD of 428, 880, 90, 298 is 2

2. Where do I get the detailed procedure to find GCD of 428, 880, 90, 298?

You can find a detailed procedure to find GCD of 428, 880, 90, 298 on our page.

3. How to find GCD of 428, 880, 90, 298 on a calculator?

You can find the GCD of 428, 880, 90, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.