GCD of 126, 304, 214, 788 Calculator

Given Input numbers are 126, 304, 214, 788

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 788 :

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

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (126, 304, 214, 788) = 2.

Given numbers are 126, 304, 214, 788

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 214 are 2 x 107

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 126, 304, 214, 788 is 2.

Given numbers are 126, 304, 214, 788

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

Apply this formula for all numbers.

Step1:

LCM(126, 304) = 19152

GCD(126, 304) = ( 126 x 304 ) / 19152

= 126 / 304

= 126

Step2:

LCM(2, 214) = 214

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

= 2 / 214

= 2

Step3:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

So, Greatest Common Divisor of 126, 304, 214, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 937, 356, 628
• GCD of 293, 549, 903, 600
• GCD of 236, 985, 275, 789
• GCD of 350, 767, 486, 265
• GCD of 655, 818, 740, 354

Given numbers are 126, 304, 214, 788
The greatest common divisor of numbers 126, 304, 214, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 304, 214, 788 is 2.

1. What is the GCD of 126, 304, 214, 788?

GCD of given numbers 126, 304, 214, 788 is 2

2. How to calculate the greatest common divisor of 126, 304, 214, 788?

We can find the highest common divisor of 126, 304, 214, 788 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 126, 304, 214, 788 i.e 2.

3. How can I use the GCD of 126, 304, 214, 788Calculator?

Out the numbers 126, 304, 214, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.