GCD of 380, 285, 42, 857 Calculator

Given Input numbers are 380, 285, 42, 857

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 380, 285, 42, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 285, 42, 857 is 1.

Therefore, GCD of numbers 380, 285, 42, 857 is 1

Given Input Data is 380, 285, 42, 857

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 857 is 857

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(380, 285) = 1140

GCD(380, 285) = ( 380 x 285 ) / 1140

GCD(380, 285) = 108300 / 1140

GCD(380, 285) = 95

Step2:

Here we consider the GCD from the above i.e. 95 as first number and the next as 42

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

LCM(95, 42) = 3990

GCD(95, 42) = ( 95 x 42 ) / 3990

GCD(95, 42) = 3990 / 3990

GCD(95, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

GCD of 380, 285, 42, 857 is 1

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• GCD of 399, 880, 56, 756
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• GCD of 236, 318, 64, 504

1. What is the GCD of 380, 285, 42, 857?

GCD of 380, 285, 42, 857 is 1

2. Where do I get the detailed procedure to find GCD of 380, 285, 42, 857?

You can find a detailed procedure to find GCD of 380, 285, 42, 857 on our page.

3. How to find GCD of 380, 285, 42, 857 on a calculator?

You can find the GCD of 380, 285, 42, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.