GCD of 760, 228, 431, 861 Calculator

Given Input numbers are 760, 228, 431, 861

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 760, 228, 431, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 228, 431, 861 is 1.

Therefore, GCD of numbers 760, 228, 431, 861 is 1

Given Input Data is 760, 228, 431, 861

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 431 is 431

Prime Factorization of 861 is 3 x 7 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(760, 228) = 2280

GCD(760, 228) = ( 760 x 228 ) / 2280

GCD(760, 228) = 173280 / 2280

GCD(760, 228) = 76

Step2:

Here we consider the GCD from the above i.e. 76 as first number and the next as 431

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

LCM(76, 431) = 32756

GCD(76, 431) = ( 76 x 431 ) / 32756

GCD(76, 431) = 32756 / 32756

GCD(76, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 760, 228, 431, 861 is 1

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1. What is the GCD of 760, 228, 431, 861?

GCD of 760, 228, 431, 861 is 1

2. Where do I get the detailed procedure to find GCD of 760, 228, 431, 861?

You can find a detailed procedure to find GCD of 760, 228, 431, 861 on our page.

3. How to find GCD of 760, 228, 431, 861 on a calculator?

You can find the GCD of 760, 228, 431, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.