GCD of 838, 828, 546 Calculator

Given Input numbers are 838, 828, 546

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 838, 828, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 828, 546 is 2.

Therefore, GCD of numbers 838, 828, 546 is 2

Given Input Data is 838, 828, 546

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 546 is 2 x 3 x 7 x 13

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, 828) = 346932

GCD(838, 828) = ( 838 x 828 ) / 346932

GCD(838, 828) = 693864 / 346932

GCD(838, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

GCD of 838, 828, 546 is 2

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• GCD of 996, 987, 787
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1. What is the GCD of 838, 828, 546?

GCD of 838, 828, 546 is 2

2. Where do I get the detailed procedure to find GCD of 838, 828, 546?

You can find a detailed procedure to find GCD of 838, 828, 546 on our page.

3. How to find GCD of 838, 828, 546 on a calculator?

You can find the GCD of 838, 828, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.