GCD of 746, 768, 364, 348 Calculator

Given Input numbers are 746, 768, 364, 348

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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 348 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (746, 768, 364, 348) = 2.

Given numbers are 746, 768, 364, 348

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

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

The highest common occurrence is 2¹

Therefore, GCD of 746, 768, 364, 348 is 2.

Given numbers are 746, 768, 364, 348

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

Apply this formula for all numbers.

Step1:

LCM(746, 768) = 286464

GCD(746, 768) = ( 746 x 768 ) / 286464

= 746 / 768

= 746

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

So, Greatest Common Divisor of 746, 768, 364, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 373, 449, 786, 883
• GCD of 195, 364, 725, 108
• GCD of 537, 750, 386, 167
• GCD of 652, 855, 404, 854
• GCD of 708, 677, 502, 630

Given numbers are 746, 768, 364, 348
The greatest common divisor of numbers 746, 768, 364, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 768, 364, 348 is 2.

1. What is the GCD of 746, 768, 364, 348?

GCD of given numbers 746, 768, 364, 348 is 2

2. How to calculate the greatest common divisor of 746, 768, 364, 348?

We can find the highest common divisor of 746, 768, 364, 348 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 746, 768, 364, 348 i.e 2.

3. How can I use the GCD of 746, 768, 364, 348Calculator?

Out the numbers 746, 768, 364, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.