GCD of 376, 348, 396, 784 Calculator

Given Input numbers are 376, 348, 396, 784

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

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (376, 348, 396, 784) = 4.

Given numbers are 376, 348, 396, 784

The list of prime factors of all numbers are

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 348 are 2 x 2 x 3 x 29

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

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 376, 348, 396, 784 is 4.

Given numbers are 376, 348, 396, 784

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

Apply this formula for all numbers.

Step1:

LCM(376, 348) = 32712

GCD(376, 348) = ( 376 x 348 ) / 32712

= 376 / 348

= 376

Step2:

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

= 4 / 396

= 4

Step3:

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

= 4 / 784

= 4

So, Greatest Common Divisor of 376, 348, 396, 784 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 561, 294, 433
• GCD of 101, 269, 526, 469
• GCD of 581, 898, 981, 530
• GCD of 717, 251, 467, 581
• GCD of 286, 156, 392, 843

Given numbers are 376, 348, 396, 784
The greatest common divisor of numbers 376, 348, 396, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 348, 396, 784 is 4.

1. What is the GCD of 376, 348, 396, 784?

GCD of given numbers 376, 348, 396, 784 is 4

2. How to calculate the greatest common divisor of 376, 348, 396, 784?

We can find the highest common divisor of 376, 348, 396, 784 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 376, 348, 396, 784 i.e 4.

3. How can I use the GCD of 376, 348, 396, 784Calculator?

Out the numbers 376, 348, 396, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.