GCD of 838, 678, 92, 240 Calculator

Given Input numbers are 838, 678, 92, 240

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 838, 678, 92, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 678, 92, 240 is 2.

Therefore, GCD of numbers 838, 678, 92, 240 is 2

Given Input Data is 838, 678, 92, 240

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(838, 678) = 284082

GCD(838, 678) = ( 838 x 678 ) / 284082

GCD(838, 678) = 568164 / 284082

GCD(838, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 92

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

LCM(2, 92) = 92

GCD(2, 92) = ( 2 x 92 ) / 92

GCD(2, 92) = 184 / 92

GCD(2, 92) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 240

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

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

GCD(2, 240) = 480 / 240

GCD(2, 240) = 2

GCD of 838, 678, 92, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 667, 222, 84, 276
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• GCD of 566, 484, 18, 838
• GCD of 560, 923, 19, 332

1. What is the GCD of 838, 678, 92, 240?

GCD of 838, 678, 92, 240 is 2

2. Where do I get the detailed procedure to find GCD of 838, 678, 92, 240?

You can find a detailed procedure to find GCD of 838, 678, 92, 240 on our page.

3. How to find GCD of 838, 678, 92, 240 on a calculator?

You can find the GCD of 838, 678, 92, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.