GCD of 654, 879, 237, 820 Calculator

Given Input numbers are 654, 879, 237, 820

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

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

Greatest Common Divisior

We found the divisors of 654, 879, 237, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 879, 237, 820 is 1.

Therefore, GCD of numbers 654, 879, 237, 820 is 1

Given Input Data is 654, 879, 237, 820

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 879 is 3 x 293

Prime Factorization of 237 is 3 x 79

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

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(654, 879) = 191622

GCD(654, 879) = ( 654 x 879 ) / 191622

GCD(654, 879) = 574866 / 191622

GCD(654, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 237

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

LCM(3, 237) = 237

GCD(3, 237) = ( 3 x 237 ) / 237

GCD(3, 237) = 711 / 237

GCD(3, 237) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 820

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

LCM(3, 820) = 2460

GCD(3, 820) = ( 3 x 820 ) / 2460

GCD(3, 820) = 2460 / 2460

GCD(3, 820) = 1

GCD of 654, 879, 237, 820 is 1

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1. What is the GCD of 654, 879, 237, 820?

GCD of 654, 879, 237, 820 is 1

2. Where do I get the detailed procedure to find GCD of 654, 879, 237, 820?

You can find a detailed procedure to find GCD of 654, 879, 237, 820 on our page.

3. How to find GCD of 654, 879, 237, 820 on a calculator?

You can find the GCD of 654, 879, 237, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.