GCD of 688, 784, 238 Calculator

Given Input numbers are 688, 784, 238

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (688, 784, 238) = 2.

Given numbers are 688, 784, 238

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 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 688, 784, 238 is 2.

Given numbers are 688, 784, 238

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

Apply this formula for all numbers.

Step1:

LCM(688, 784) = 33712

GCD(688, 784) = ( 688 x 784 ) / 33712

= 688 / 784

= 688

Step2:

LCM(16, 238) = 1904

GCD(16, 238) = ( 16 x 238 ) / 1904

= 16 / 238

= 16

So, Greatest Common Divisor of 688, 784, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 758, 403
• GCD of 218, 386, 974
• GCD of 568, 159, 325
• GCD of 310, 937, 491
• GCD of 319, 796, 399

Given numbers are 688, 784, 238
The greatest common divisor of numbers 688, 784, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 784, 238 is 2.

1. What is the GCD of 688, 784, 238?

GCD of given numbers 688, 784, 238 is 2

2. How to calculate the greatest common divisor of 688, 784, 238?

We can find the highest common divisor of 688, 784, 238 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, 784, 238 i.e 2.

3. How can I use the GCD of 688, 784, 238Calculator?

Out the numbers 688, 784, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.