GCD of 688, 304, 394, 428 Calculator

Given Input numbers are 688, 304, 394, 428

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (688, 304, 394, 428) = 2.

Given numbers are 688, 304, 394, 428

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

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

Prime factors of 394 are 2 x 197

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 688, 304, 394, 428 is 2.

Given numbers are 688, 304, 394, 428

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

Apply this formula for all numbers.

Step1:

LCM(688, 304) = 13072

GCD(688, 304) = ( 688 x 304 ) / 13072

= 688 / 304

= 688

Step2:

LCM(16, 394) = 3152

GCD(16, 394) = ( 16 x 394 ) / 3152

= 16 / 394

= 16

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 688, 304, 394, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 437, 257, 648
• GCD of 852, 972, 712, 722
• GCD of 488, 991, 316, 869
• GCD of 651, 914, 126, 323
• GCD of 934, 752, 700, 790

Given numbers are 688, 304, 394, 428
The greatest common divisor of numbers 688, 304, 394, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 304, 394, 428 is 2.

1. What is the GCD of 688, 304, 394, 428?

GCD of given numbers 688, 304, 394, 428 is 2

2. How to calculate the greatest common divisor of 688, 304, 394, 428?

We can find the highest common divisor of 688, 304, 394, 428 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 688, 304, 394, 428 i.e 2.

3. How can I use the GCD of 688, 304, 394, 428Calculator?

Out the numbers 688, 304, 394, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.