GCD of 788, 728, 778, 214 Calculator

Given Input numbers are 788, 728, 778, 214

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 778 :

The positive integer divisors of 778 that completely divides 778 are.

1, 2, 389, 778

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (788, 728, 778, 214) = 2.

Given numbers are 788, 728, 778, 214

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 778 are 2 x 389

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 788, 728, 778, 214 is 2.

Given numbers are 788, 728, 778, 214

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

Apply this formula for all numbers.

Step1:

LCM(788, 728) = 143416

GCD(788, 728) = ( 788 x 728 ) / 143416

= 788 / 728

= 788

Step2:

LCM(4, 778) = 1556

GCD(4, 778) = ( 4 x 778 ) / 1556

= 4 / 778

= 4

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 788, 728, 778, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 561, 458, 941
• GCD of 143, 889, 636, 961
• GCD of 158, 811, 459, 580
• GCD of 816, 997, 663, 990
• GCD of 738, 259, 540, 770

Given numbers are 788, 728, 778, 214
The greatest common divisor of numbers 788, 728, 778, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 728, 778, 214 is 2.

1. What is the GCD of 788, 728, 778, 214?

GCD of given numbers 788, 728, 778, 214 is 2

2. How to calculate the greatest common divisor of 788, 728, 778, 214?

We can find the highest common divisor of 788, 728, 778, 214 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, 728, 778, 214 i.e 2.

3. How can I use the GCD of 788, 728, 778, 214Calculator?

Out the numbers 788, 728, 778, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.