GCD of 432, 254, 98, 802 Calculator

Given Input numbers are 432, 254, 98, 802

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 432, 254, 98, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 254, 98, 802 is 2.

Therefore, GCD of numbers 432, 254, 98, 802 is 2

Given Input Data is 432, 254, 98, 802

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 254 is 2 x 127

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 802 is 2 x 401

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(432, 254) = 54864

GCD(432, 254) = ( 432 x 254 ) / 54864

GCD(432, 254) = 109728 / 54864

GCD(432, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 802

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

LCM(2, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

GCD(2, 802) = 1604 / 802

GCD(2, 802) = 2

GCD of 432, 254, 98, 802 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 659, 41, 251
• GCD of 742, 330, 64, 108
• GCD of 136, 199, 96, 283
• GCD of 701, 964, 15, 256
• GCD of 121, 392, 94, 251

1. What is the GCD of 432, 254, 98, 802?

GCD of 432, 254, 98, 802 is 2

2. Where do I get the detailed procedure to find GCD of 432, 254, 98, 802?

You can find a detailed procedure to find GCD of 432, 254, 98, 802 on our page.

3. How to find GCD of 432, 254, 98, 802 on a calculator?

You can find the GCD of 432, 254, 98, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.