GCD of 759, 441, 378, 396 Calculator

Given Input numbers are 759, 441, 378, 396

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (759, 441, 378, 396) = 3.

Given numbers are 759, 441, 378, 396

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 441 are 3 x 3 x 7 x 7

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 759, 441, 378, 396 is 3.

Given numbers are 759, 441, 378, 396

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

Apply this formula for all numbers.

Step1:

LCM(759, 441) = 111573

GCD(759, 441) = ( 759 x 441 ) / 111573

= 759 / 441

= 759

Step2:

LCM(3, 378) = 378

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

= 3 / 378

= 3

Step3:

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

= 3 / 396

= 3

So, Greatest Common Divisor of 759, 441, 378, 396 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 655, 446, 654
• GCD of 353, 394, 473, 116
• GCD of 350, 920, 264, 335
• GCD of 718, 357, 359, 374
• GCD of 122, 593, 313, 682

Given numbers are 759, 441, 378, 396
The greatest common divisor of numbers 759, 441, 378, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 441, 378, 396 is 3.

1. What is the GCD of 759, 441, 378, 396?

GCD of given numbers 759, 441, 378, 396 is 3

2. How to calculate the greatest common divisor of 759, 441, 378, 396?

We can find the highest common divisor of 759, 441, 378, 396 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 759, 441, 378, 396 i.e 3.

3. How can I use the GCD of 759, 441, 378, 396Calculator?

Out the numbers 759, 441, 378, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.