GCD of 788, 418, 256, 280 Calculator

Given Input numbers are 788, 418, 256, 280

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (788, 418, 256, 280) = 2.

Given numbers are 788, 418, 256, 280

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 418 are 2 x 11 x 19

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

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 788, 418, 256, 280 is 2.

Given numbers are 788, 418, 256, 280

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

Apply this formula for all numbers.

Step1:

LCM(788, 418) = 164692

GCD(788, 418) = ( 788 x 418 ) / 164692

= 788 / 418

= 788

Step2:

LCM(2, 256) = 256

GCD(2, 256) = ( 2 x 256 ) / 256

= 2 / 256

= 2

Step3:

LCM(2, 280) = 280

GCD(2, 280) = ( 2 x 280 ) / 280

= 2 / 280

= 2

So, Greatest Common Divisor of 788, 418, 256, 280 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 418, 661, 290
• GCD of 613, 531, 483, 476
• GCD of 823, 228, 114, 131
• GCD of 792, 929, 787, 966
• GCD of 471, 240, 458, 421

Given numbers are 788, 418, 256, 280
The greatest common divisor of numbers 788, 418, 256, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 418, 256, 280 is 2.

1. What is the GCD of 788, 418, 256, 280?

GCD of given numbers 788, 418, 256, 280 is 2

2. How to calculate the greatest common divisor of 788, 418, 256, 280?

We can find the highest common divisor of 788, 418, 256, 280 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 788, 418, 256, 280 i.e 2.

3. How can I use the GCD of 788, 418, 256, 280Calculator?

Out the numbers 788, 418, 256, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.