GCD of 300, 380, 347, 139 Calculator

Given Input numbers are 300, 380, 347, 139

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

Greatest Common Divisior

We found the divisors of 300, 380, 347, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 380, 347, 139 is 1.

Therefore, GCD of numbers 300, 380, 347, 139 is 1

Given Input Data is 300, 380, 347, 139

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

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

Prime Factorization of 347 is 347

Prime Factorization of 139 is 139

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(300, 380) = 5700

GCD(300, 380) = ( 300 x 380 ) / 5700

GCD(300, 380) = 114000 / 5700

GCD(300, 380) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 347

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

LCM(20, 347) = 6940

GCD(20, 347) = ( 20 x 347 ) / 6940

GCD(20, 347) = 6940 / 6940

GCD(20, 347) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

GCD of 300, 380, 347, 139 is 1

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1. What is the GCD of 300, 380, 347, 139?

GCD of 300, 380, 347, 139 is 1

2. Where do I get the detailed procedure to find GCD of 300, 380, 347, 139?

You can find a detailed procedure to find GCD of 300, 380, 347, 139 on our page.

3. How to find GCD of 300, 380, 347, 139 on a calculator?

You can find the GCD of 300, 380, 347, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.