GCD of 294, 921, 862 Calculator

Given Input numbers are 294, 921, 862

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 862

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

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 294, 921, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 921, 862 is 1.

Therefore, GCD of numbers 294, 921, 862 is 1

Given Input Data is 294, 921, 862

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 921 is 3 x 307

Prime Factorization of 862 is 2 x 431

The above numbers do not have any common prime factor. So GCD is 1

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(294, 921) = 90258

GCD(294, 921) = ( 294 x 921 ) / 90258

GCD(294, 921) = 270774 / 90258

GCD(294, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 862

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

LCM(3, 862) = 2586

GCD(3, 862) = ( 3 x 862 ) / 2586

GCD(3, 862) = 2586 / 2586

GCD(3, 862) = 1

GCD of 294, 921, 862 is 1

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1. What is the GCD of 294, 921, 862?

GCD of 294, 921, 862 is 1

2. Where do I get the detailed procedure to find GCD of 294, 921, 862?

You can find a detailed procedure to find GCD of 294, 921, 862 on our page.

3. How to find GCD of 294, 921, 862 on a calculator?

You can find the GCD of 294, 921, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.