GCD of 748, 256, 328, 940 Calculator

Given Input numbers are 748, 256, 328, 940

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (748, 256, 328, 940) = 4.

Given numbers are 748, 256, 328, 940

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2²

Therefore, GCD of 748, 256, 328, 940 is 4.

Given numbers are 748, 256, 328, 940

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

Apply this formula for all numbers.

Step1:

LCM(748, 256) = 47872

GCD(748, 256) = ( 748 x 256 ) / 47872

= 748 / 256

= 748

Step2:

LCM(4, 328) = 328

GCD(4, 328) = ( 4 x 328 ) / 328

= 4 / 328

= 4

Step3:

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

= 4 / 940

= 4

So, Greatest Common Divisor of 748, 256, 328, 940 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 823, 266, 609
• GCD of 974, 422, 840, 223
• GCD of 570, 745, 219, 165
• GCD of 579, 592, 692, 757
• GCD of 555, 834, 890, 279

Given numbers are 748, 256, 328, 940
The greatest common divisor of numbers 748, 256, 328, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 256, 328, 940 is 4.

1. What is the GCD of 748, 256, 328, 940?

GCD of given numbers 748, 256, 328, 940 is 4

2. How to calculate the greatest common divisor of 748, 256, 328, 940?

We can find the highest common divisor of 748, 256, 328, 940 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 748, 256, 328, 940 i.e 4.

3. How can I use the GCD of 748, 256, 328, 940Calculator?

Out the numbers 748, 256, 328, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.