GCD of 375, 854, 48, 209 Calculator

Given Input numbers are 375, 854, 48, 209

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

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 375, 854, 48, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 854, 48, 209 is 1.

Therefore, GCD of numbers 375, 854, 48, 209 is 1

Given Input Data is 375, 854, 48, 209

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 209 is 11 x 19

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(375, 854) = 320250

GCD(375, 854) = ( 375 x 854 ) / 320250

GCD(375, 854) = 320250 / 320250

GCD(375, 854) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 375, 854, 48, 209 is 1

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1. What is the GCD of 375, 854, 48, 209?

GCD of 375, 854, 48, 209 is 1

2. Where do I get the detailed procedure to find GCD of 375, 854, 48, 209?

You can find a detailed procedure to find GCD of 375, 854, 48, 209 on our page.

3. How to find GCD of 375, 854, 48, 209 on a calculator?

You can find the GCD of 375, 854, 48, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.