GCD of 189, 714, 381, 127 Calculator

Given Input numbers are 189, 714, 381, 127

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

Divisors of 189 :

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

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 381 :

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

1, 3, 127, 381

Divisors of 127 :

The positive integer divisors of 127 that completely divides 127 are.

1, 127

GCD of numbers is the greatest common divisor

So, the GCD (189, 714, 381, 127) = 1.

Given numbers are 189, 714, 381, 127

The list of prime factors of all numbers are

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 381 are 3 x 127

Prime factors of 127 are 127

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

Given numbers are 189, 714, 381, 127

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

Apply this formula for all numbers.

Step1:

LCM(189, 714) = 6426

GCD(189, 714) = ( 189 x 714 ) / 6426

= 189 / 714

= 189

Step2:

LCM(21, 381) = 2667

GCD(21, 381) = ( 21 x 381 ) / 2667

= 21 / 381

= 21

Step3:

LCM(3, 127) = 381

GCD(3, 127) = ( 3 x 127 ) / 381

= 3 / 127

= 3

So, Greatest Common Divisor of 189, 714, 381, 127 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 125, 312, 187
• GCD of 703, 291, 981, 915
• GCD of 773, 928, 307, 594
• GCD of 521, 971, 460, 300
• GCD of 982, 434, 103, 935

Given numbers are 189, 714, 381, 127
The greatest common divisor of numbers 189, 714, 381, 127 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 714, 381, 127 is 1.

1. What is the GCD of 189, 714, 381, 127?

GCD of given numbers 189, 714, 381, 127 is 1

2. How to calculate the greatest common divisor of 189, 714, 381, 127?

We can find the highest common divisor of 189, 714, 381, 127 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 189, 714, 381, 127 i.e 1.

3. How can I use the GCD of 189, 714, 381, 127Calculator?

Out the numbers 189, 714, 381, 127 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.