GCD of 364, 438, 344, 756 Calculator

Given Input numbers are 364, 438, 344, 756

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (364, 438, 344, 756) = 2.

Given numbers are 364, 438, 344, 756

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 438 are 2 x 3 x 73

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 364, 438, 344, 756 is 2.

Given numbers are 364, 438, 344, 756

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

Apply this formula for all numbers.

Step1:

LCM(364, 438) = 79716

GCD(364, 438) = ( 364 x 438 ) / 79716

= 364 / 438

= 364

Step2:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

Step3:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

So, Greatest Common Divisor of 364, 438, 344, 756 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 572, 338, 885
• GCD of 867, 736, 227, 733
• GCD of 578, 703, 505, 653
• GCD of 669, 148, 678, 149
• GCD of 105, 392, 416, 386

Given numbers are 364, 438, 344, 756
The greatest common divisor of numbers 364, 438, 344, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 438, 344, 756 is 2.

1. What is the GCD of 364, 438, 344, 756?

GCD of given numbers 364, 438, 344, 756 is 2

2. How to calculate the greatest common divisor of 364, 438, 344, 756?

We can find the highest common divisor of 364, 438, 344, 756 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 364, 438, 344, 756 i.e 2.

3. How can I use the GCD of 364, 438, 344, 756Calculator?

Out the numbers 364, 438, 344, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.