GCD of 364, 378, 656, 768 Calculator

Given Input numbers are 364, 378, 656, 768

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 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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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

GCD of numbers is the greatest common divisor

So, the GCD (364, 378, 656, 768) = 2.

Given numbers are 364, 378, 656, 768

The list of prime factors of all numbers are

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

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

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 364, 378, 656, 768 is 2.

Given numbers are 364, 378, 656, 768

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

Apply this formula for all numbers.

Step1:

LCM(364, 378) = 9828

GCD(364, 378) = ( 364 x 378 ) / 9828

= 364 / 378

= 364

Step2:

LCM(14, 656) = 4592

GCD(14, 656) = ( 14 x 656 ) / 4592

= 14 / 656

= 14

Step3:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

So, Greatest Common Divisor of 364, 378, 656, 768 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 503, 818, 319
• GCD of 924, 218, 147, 997
• GCD of 318, 305, 102, 201
• GCD of 736, 696, 861, 927
• GCD of 659, 585, 571, 366

Given numbers are 364, 378, 656, 768
The greatest common divisor of numbers 364, 378, 656, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 378, 656, 768 is 2.

1. What is the GCD of 364, 378, 656, 768?

GCD of given numbers 364, 378, 656, 768 is 2

2. How to calculate the greatest common divisor of 364, 378, 656, 768?

We can find the highest common divisor of 364, 378, 656, 768 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, 378, 656, 768 i.e 2.

3. How can I use the GCD of 364, 378, 656, 768Calculator?

Out the numbers 364, 378, 656, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.