GCD of 891, 675, 753, 381 Calculator

Given Input numbers are 891, 675, 753, 381

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

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 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 381 :

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

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (891, 675, 753, 381) = 3.

Given numbers are 891, 675, 753, 381

The list of prime factors of all numbers are

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

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 753 are 3 x 251

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 891, 675, 753, 381 is 3.

Given numbers are 891, 675, 753, 381

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

Apply this formula for all numbers.

Step1:

LCM(891, 675) = 22275

GCD(891, 675) = ( 891 x 675 ) / 22275

= 891 / 675

= 891

Step2:

LCM(27, 753) = 6777

GCD(27, 753) = ( 27 x 753 ) / 6777

= 27 / 753

= 27

Step3:

LCM(3, 381) = 381

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

= 3 / 381

= 3

So, Greatest Common Divisor of 891, 675, 753, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 645, 294, 638
• GCD of 321, 321, 449, 521
• GCD of 385, 788, 555, 601
• GCD of 845, 271, 570, 582
• GCD of 359, 484, 203, 175

Given numbers are 891, 675, 753, 381
The greatest common divisor of numbers 891, 675, 753, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 675, 753, 381 is 3.

1. What is the GCD of 891, 675, 753, 381?

GCD of given numbers 891, 675, 753, 381 is 3

2. How to calculate the greatest common divisor of 891, 675, 753, 381?

We can find the highest common divisor of 891, 675, 753, 381 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 891, 675, 753, 381 i.e 3.

3. How can I use the GCD of 891, 675, 753, 381Calculator?

Out the numbers 891, 675, 753, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.