GCD of 380, 140, 475, 387 Calculator

Given Input numbers are 380, 140, 475, 387

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 380, 140, 475, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 140, 475, 387 is 1.

Therefore, GCD of numbers 380, 140, 475, 387 is 1

Given Input Data is 380, 140, 475, 387

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 140 is 2 x 2 x 5 x 7

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 387 is 3 x 3 x 43

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, 140) = 2660

GCD(380, 140) = ( 380 x 140 ) / 2660

GCD(380, 140) = 53200 / 2660

GCD(380, 140) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 475

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

LCM(20, 475) = 1900

GCD(20, 475) = ( 20 x 475 ) / 1900

GCD(20, 475) = 9500 / 1900

GCD(20, 475) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 387

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

LCM(5, 387) = 1935

GCD(5, 387) = ( 5 x 387 ) / 1935

GCD(5, 387) = 1935 / 1935

GCD(5, 387) = 1

GCD of 380, 140, 475, 387 is 1

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1. What is the GCD of 380, 140, 475, 387?

GCD of 380, 140, 475, 387 is 1

2. Where do I get the detailed procedure to find GCD of 380, 140, 475, 387?

You can find a detailed procedure to find GCD of 380, 140, 475, 387 on our page.

3. How to find GCD of 380, 140, 475, 387 on a calculator?

You can find the GCD of 380, 140, 475, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.