GCD of 840, 258, 38, 294 Calculator

Given Input numbers are 840, 258, 38, 294

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

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 840, 258, 38, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 258, 38, 294 is 2.

Therefore, GCD of numbers 840, 258, 38, 294 is 2

Given Input Data is 840, 258, 38, 294

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

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 38 is 2 x 19

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

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(840, 258) = 36120

GCD(840, 258) = ( 840 x 258 ) / 36120

GCD(840, 258) = 216720 / 36120

GCD(840, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 38

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

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

GCD(6, 38) = 228 / 114

GCD(6, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

GCD of 840, 258, 38, 294 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 329, 45, 712
• GCD of 127, 476, 52, 837
• GCD of 507, 610, 87, 292
• GCD of 617, 932, 89, 861
• GCD of 403, 348, 26, 442

1. What is the GCD of 840, 258, 38, 294?

GCD of 840, 258, 38, 294 is 2

2. Where do I get the detailed procedure to find GCD of 840, 258, 38, 294?

You can find a detailed procedure to find GCD of 840, 258, 38, 294 on our page.

3. How to find GCD of 840, 258, 38, 294 on a calculator?

You can find the GCD of 840, 258, 38, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.