GCD of 820, 376, 87, 229 Calculator

Given Input numbers are 820, 376, 87, 229

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 820, 376, 87, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 376, 87, 229 is 1.

Therefore, GCD of numbers 820, 376, 87, 229 is 1

Given Input Data is 820, 376, 87, 229

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 376 is 2 x 2 x 2 x 47

Prime Factorization of 87 is 3 x 29

Prime Factorization of 229 is 229

The above numbers do not have any common prime factor. So GCD is 1

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, 376) = 77080

GCD(820, 376) = ( 820 x 376 ) / 77080

GCD(820, 376) = 308320 / 77080

GCD(820, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 87

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

LCM(4, 87) = 348

GCD(4, 87) = ( 4 x 87 ) / 348

GCD(4, 87) = 348 / 348

GCD(4, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 820, 376, 87, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 441, 812, 12, 750
• GCD of 343, 727, 63, 519
• GCD of 653, 738, 89, 431
• GCD of 678, 820, 14, 191
• GCD of 604, 325, 12, 900

1. What is the GCD of 820, 376, 87, 229?

GCD of 820, 376, 87, 229 is 1

2. Where do I get the detailed procedure to find GCD of 820, 376, 87, 229?

You can find a detailed procedure to find GCD of 820, 376, 87, 229 on our page.

3. How to find GCD of 820, 376, 87, 229 on a calculator?

You can find the GCD of 820, 376, 87, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.