GCD of 381, 338, 189, 975 Calculator

Given Input numbers are 381, 338, 189, 975

In the factoring method, we have to find the divisors of all numbers

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

GCD of numbers is the greatest common divisor

So, the GCD (381, 338, 189, 975) = 1.

Given numbers are 381, 338, 189, 975

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 338 are 2 x 13 x 13

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 975 are 3 x 5 x 5 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 381, 338, 189, 975

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(381, 338) = 128778

GCD(381, 338) = ( 381 x 338 ) / 128778

= 381 / 338

= 381

Step2:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

Step3:

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

= 1 / 975

= 1

So, Greatest Common Divisor of 381, 338, 189, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 222, 129, 273
• GCD of 260, 350, 977, 194
• GCD of 412, 125, 314, 723
• GCD of 432, 886, 493, 625
• GCD of 250, 987, 916, 452

Given numbers are 381, 338, 189, 975
The greatest common divisor of numbers 381, 338, 189, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 338, 189, 975 is 1.

1. What is the GCD of 381, 338, 189, 975?

GCD of given numbers 381, 338, 189, 975 is 1

2. How to calculate the greatest common divisor of 381, 338, 189, 975?

We can find the highest common divisor of 381, 338, 189, 975 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 381, 338, 189, 975 i.e 1.

3. How can I use the GCD of 381, 338, 189, 975Calculator?

Out the numbers 381, 338, 189, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.