GCD of 857, 380, 305, 132 Calculator

Given Input numbers are 857, 380, 305, 132

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

Divisors of 857

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

1, 857

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 857, 380, 305, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 857, 380, 305, 132 is 1.

Therefore, GCD of numbers 857, 380, 305, 132 is 1

Given Input Data is 857, 380, 305, 132

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

Prime Factorization of 857 is 857

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(857, 380) = 325660

GCD(857, 380) = ( 857 x 380 ) / 325660

GCD(857, 380) = 325660 / 325660

GCD(857, 380) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

GCD of 857, 380, 305, 132 is 1

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1. What is the GCD of 857, 380, 305, 132?

GCD of 857, 380, 305, 132 is 1

2. Where do I get the detailed procedure to find GCD of 857, 380, 305, 132?

You can find a detailed procedure to find GCD of 857, 380, 305, 132 on our page.

3. How to find GCD of 857, 380, 305, 132 on a calculator?

You can find the GCD of 857, 380, 305, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.