GCD of 381, 891, 761, 360 Calculator

Given Input numbers are 381, 891, 761, 360

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 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (381, 891, 761, 360) = 1.

Given numbers are 381, 891, 761, 360

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 761 are 761

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 381, 891, 761, 360

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

Apply this formula for all numbers.

Step1:

LCM(381, 891) = 113157

GCD(381, 891) = ( 381 x 891 ) / 113157

= 381 / 891

= 381

Step2:

LCM(3, 761) = 2283

GCD(3, 761) = ( 3 x 761 ) / 2283

= 3 / 761

= 3

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 381, 891, 761, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 382, 422, 462
• GCD of 455, 391, 441, 733
• GCD of 601, 198, 428, 311
• GCD of 735, 152, 486, 874
• GCD of 542, 919, 874, 239

Given numbers are 381, 891, 761, 360
The greatest common divisor of numbers 381, 891, 761, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 891, 761, 360 is 1.

1. What is the GCD of 381, 891, 761, 360?

GCD of given numbers 381, 891, 761, 360 is 1

2. How to calculate the greatest common divisor of 381, 891, 761, 360?

We can find the highest common divisor of 381, 891, 761, 360 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, 891, 761, 360 i.e 1.

3. How can I use the GCD of 381, 891, 761, 360Calculator?

Out the numbers 381, 891, 761, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.