GCD of 810, 820, 224, 700 Calculator

Given Input numbers are 810, 820, 224, 700

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

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 810, 820, 224, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 810, 820, 224, 700 is 2.

Therefore, GCD of numbers 810, 820, 224, 700 is 2

Given Input Data is 810, 820, 224, 700

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

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 700 is 2 x 2 x 5 x 5 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(810, 820) = 66420

GCD(810, 820) = ( 810 x 820 ) / 66420

GCD(810, 820) = 664200 / 66420

GCD(810, 820) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 224

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

LCM(10, 224) = 1120

GCD(10, 224) = ( 10 x 224 ) / 1120

GCD(10, 224) = 2240 / 1120

GCD(10, 224) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 700

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

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

GCD(2, 700) = 1400 / 700

GCD(2, 700) = 2

GCD of 810, 820, 224, 700 is 2

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• GCD of 479, 213, 714, 681
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1. What is the GCD of 810, 820, 224, 700?

GCD of 810, 820, 224, 700 is 2

2. Where do I get the detailed procedure to find GCD of 810, 820, 224, 700?

You can find a detailed procedure to find GCD of 810, 820, 224, 700 on our page.

3. How to find GCD of 810, 820, 224, 700 on a calculator?

You can find the GCD of 810, 820, 224, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.