GCD of 820, 310, 84, 934 Calculator

Given Input numbers are 820, 310, 84, 934

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Greatest Common Divisior

We found the divisors of 820, 310, 84, 934 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 310, 84, 934 is 2.

Therefore, GCD of numbers 820, 310, 84, 934 is 2

Given Input Data is 820, 310, 84, 934

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 934 is 2 x 467

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(820, 310) = 25420

GCD(820, 310) = ( 820 x 310 ) / 25420

GCD(820, 310) = 254200 / 25420

GCD(820, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 84

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

LCM(10, 84) = 420

GCD(10, 84) = ( 10 x 84 ) / 420

GCD(10, 84) = 840 / 420

GCD(10, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 934

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

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

GCD(2, 934) = 1868 / 934

GCD(2, 934) = 2

GCD of 820, 310, 84, 934 is 2

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• GCD of 110, 928, 16, 300
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• GCD of 829, 496, 55, 788
• GCD of 126, 514, 56, 157

1. What is the GCD of 820, 310, 84, 934?

GCD of 820, 310, 84, 934 is 2

2. Where do I get the detailed procedure to find GCD of 820, 310, 84, 934?

You can find a detailed procedure to find GCD of 820, 310, 84, 934 on our page.

3. How to find GCD of 820, 310, 84, 934 on a calculator?

You can find the GCD of 820, 310, 84, 934 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.