GCD of 381, 378, 303, 984 Calculator

Given Input numbers are 381, 378, 303, 984

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 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (381, 378, 303, 984) = 3.

Given numbers are 381, 378, 303, 984

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 303 are 3 x 101

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 381, 378, 303, 984 is 3.

Given numbers are 381, 378, 303, 984

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

Apply this formula for all numbers.

Step1:

LCM(381, 378) = 48006

GCD(381, 378) = ( 381 x 378 ) / 48006

= 381 / 378

= 381

Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

Step3:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

So, Greatest Common Divisor of 381, 378, 303, 984 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 958, 398, 405
• GCD of 993, 626, 250, 875
• GCD of 709, 154, 352, 807
• GCD of 134, 286, 673, 148
• GCD of 332, 184, 563, 220

Given numbers are 381, 378, 303, 984
The greatest common divisor of numbers 381, 378, 303, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 378, 303, 984 is 3.

1. What is the GCD of 381, 378, 303, 984?

GCD of given numbers 381, 378, 303, 984 is 3

2. How to calculate the greatest common divisor of 381, 378, 303, 984?

We can find the highest common divisor of 381, 378, 303, 984 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, 378, 303, 984 i.e 3.

3. How can I use the GCD of 381, 378, 303, 984Calculator?

Out the numbers 381, 378, 303, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.