GCD of 747, 375, 378, 381 Calculator

Given Input numbers are 747, 375, 378, 381

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

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 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 (747, 375, 378, 381) = 3.

Given numbers are 747, 375, 378, 381

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 375 are 3 x 5 x 5 x 5

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

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 747, 375, 378, 381 is 3.

Given numbers are 747, 375, 378, 381

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

Apply this formula for all numbers.

Step1:

LCM(747, 375) = 93375

GCD(747, 375) = ( 747 x 375 ) / 93375

= 747 / 375

= 747

Step2:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

Step3:

LCM(3, 381) = 381

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

= 3 / 381

= 3

So, Greatest Common Divisor of 747, 375, 378, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 818, 194, 617, 481
• GCD of 574, 790, 812, 450
• GCD of 461, 151, 136, 513
• GCD of 127, 417, 223, 412
• GCD of 405, 418, 877, 919

Given numbers are 747, 375, 378, 381
The greatest common divisor of numbers 747, 375, 378, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 375, 378, 381 is 3.

1. What is the GCD of 747, 375, 378, 381?

GCD of given numbers 747, 375, 378, 381 is 3

2. How to calculate the greatest common divisor of 747, 375, 378, 381?

We can find the highest common divisor of 747, 375, 378, 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 747, 375, 378, 381 i.e 3.

3. How can I use the GCD of 747, 375, 378, 381Calculator?

Out the numbers 747, 375, 378, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.