GCD of 798, 172, 632, 290 Calculator

Given Input numbers are 798, 172, 632, 290

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 798, 172, 632, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 172, 632, 290 is 2.

Therefore, GCD of numbers 798, 172, 632, 290 is 2

Given Input Data is 798, 172, 632, 290

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 290 is 2 x 5 x 29

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(798, 172) = 68628

GCD(798, 172) = ( 798 x 172 ) / 68628

GCD(798, 172) = 137256 / 68628

GCD(798, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 290

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

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

GCD(2, 290) = 580 / 290

GCD(2, 290) = 2

GCD of 798, 172, 632, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 236, 709, 715, 766
• GCD of 416, 593, 733, 225
• GCD of 213, 786, 528, 976
• GCD of 637, 974, 389, 177
• GCD of 306, 334, 678, 583

1. What is the GCD of 798, 172, 632, 290?

GCD of 798, 172, 632, 290 is 2

2. Where do I get the detailed procedure to find GCD of 798, 172, 632, 290?

You can find a detailed procedure to find GCD of 798, 172, 632, 290 on our page.

3. How to find GCD of 798, 172, 632, 290 on a calculator?

You can find the GCD of 798, 172, 632, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.