GCD of 688, 420, 366, 232 Calculator

Given Input numbers are 688, 420, 366, 232

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

GCD of numbers is the greatest common divisor

So, the GCD (688, 420, 366, 232) = 2.

Given numbers are 688, 420, 366, 232

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 366 are 2 x 3 x 61

Prime factors of 232 are 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 688, 420, 366, 232 is 2.

Given numbers are 688, 420, 366, 232

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

Apply this formula for all numbers.

Step1:

LCM(688, 420) = 72240

GCD(688, 420) = ( 688 x 420 ) / 72240

= 688 / 420

= 688

Step2:

LCM(4, 366) = 732

GCD(4, 366) = ( 4 x 366 ) / 732

= 4 / 366

= 4

Step3:

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

= 2 / 232

= 2

So, Greatest Common Divisor of 688, 420, 366, 232 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 195, 765, 655
• GCD of 646, 282, 527, 314
• GCD of 521, 361, 219, 394
• GCD of 653, 527, 736, 477
• GCD of 823, 448, 422, 624

Given numbers are 688, 420, 366, 232
The greatest common divisor of numbers 688, 420, 366, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 420, 366, 232 is 2.

1. What is the GCD of 688, 420, 366, 232?

GCD of given numbers 688, 420, 366, 232 is 2

2. How to calculate the greatest common divisor of 688, 420, 366, 232?

We can find the highest common divisor of 688, 420, 366, 232 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, 420, 366, 232 i.e 2.

3. How can I use the GCD of 688, 420, 366, 232Calculator?

Out the numbers 688, 420, 366, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.