GCD of 98, 428, 170, 804 Calculator

Given Input numbers are 98, 428, 170, 804

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

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 428

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

1, 2, 4, 107, 214, 428

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 98, 428, 170, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 428, 170, 804 is 2.

Therefore, GCD of numbers 98, 428, 170, 804 is 2

Given Input Data is 98, 428, 170, 804

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(98, 428) = 20972

GCD(98, 428) = ( 98 x 428 ) / 20972

GCD(98, 428) = 41944 / 20972

GCD(98, 428) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 170

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

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

GCD(2, 170) = 340 / 170

GCD(2, 170) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

GCD of 98, 428, 170, 804 is 2

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• GCD of 75, 981, 278, 487
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• GCD of 21, 466, 991, 261

1. What is the GCD of 98, 428, 170, 804?

GCD of 98, 428, 170, 804 is 2

2. Where do I get the detailed procedure to find GCD of 98, 428, 170, 804?

You can find a detailed procedure to find GCD of 98, 428, 170, 804 on our page.

3. How to find GCD of 98, 428, 170, 804 on a calculator?

You can find the GCD of 98, 428, 170, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.