GCD of 858, 270, 380, 119 Calculator

Given Input numbers are 858, 270, 380, 119

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

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

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

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 858, 270, 380, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 270, 380, 119 is 1.

Therefore, GCD of numbers 858, 270, 380, 119 is 1

Given Input Data is 858, 270, 380, 119

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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

Prime Factorization of 119 is 7 x 17

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(858, 270) = 38610

GCD(858, 270) = ( 858 x 270 ) / 38610

GCD(858, 270) = 231660 / 38610

GCD(858, 270) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 380

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

LCM(6, 380) = 1140

GCD(6, 380) = ( 6 x 380 ) / 1140

GCD(6, 380) = 2280 / 1140

GCD(6, 380) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 119

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

LCM(2, 119) = 238

GCD(2, 119) = ( 2 x 119 ) / 238

GCD(2, 119) = 238 / 238

GCD(2, 119) = 1

GCD of 858, 270, 380, 119 is 1

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1. What is the GCD of 858, 270, 380, 119?

GCD of 858, 270, 380, 119 is 1

2. Where do I get the detailed procedure to find GCD of 858, 270, 380, 119?

You can find a detailed procedure to find GCD of 858, 270, 380, 119 on our page.

3. How to find GCD of 858, 270, 380, 119 on a calculator?

You can find the GCD of 858, 270, 380, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.