GCD of 862, 274, 464, 904 Calculator

Given Input numbers are 862, 274, 464, 904

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

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 862, 274, 464, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 274, 464, 904 is 2.

Therefore, GCD of numbers 862, 274, 464, 904 is 2

Given Input Data is 862, 274, 464, 904

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 274 is 2 x 137

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 904 is 2 x 2 x 2 x 113

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(862, 274) = 118094

GCD(862, 274) = ( 862 x 274 ) / 118094

GCD(862, 274) = 236188 / 118094

GCD(862, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 904

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

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

GCD(2, 904) = 1808 / 904

GCD(2, 904) = 2

GCD of 862, 274, 464, 904 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 475, 217, 776
• GCD of 925, 692, 663, 888
• GCD of 468, 868, 103, 239
• GCD of 629, 941, 555, 718
• GCD of 960, 758, 751, 659

1. What is the GCD of 862, 274, 464, 904?

GCD of 862, 274, 464, 904 is 2

2. Where do I get the detailed procedure to find GCD of 862, 274, 464, 904?

You can find a detailed procedure to find GCD of 862, 274, 464, 904 on our page.

3. How to find GCD of 862, 274, 464, 904 on a calculator?

You can find the GCD of 862, 274, 464, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.