GCD of 688, 642, 768 Calculator

Given Input numbers are 688, 642, 768

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

GCD of numbers is the greatest common divisor

So, the GCD (688, 642, 768) = 2.

Given numbers are 688, 642, 768

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 642 are 2 x 3 x 107

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 688, 642, 768 is 2.

Given numbers are 688, 642, 768

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

Apply this formula for all numbers.

Step1:

LCM(688, 642) = 220848

GCD(688, 642) = ( 688 x 642 ) / 220848

= 688 / 642

= 688

Step2:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2

So, Greatest Common Divisor of 688, 642, 768 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 123, 869
• GCD of 475, 463, 801
• GCD of 504, 839, 539
• GCD of 881, 156, 636
• GCD of 848, 616, 229

Given numbers are 688, 642, 768
The greatest common divisor of numbers 688, 642, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 642, 768 is 2.

1. What is the GCD of 688, 642, 768?

GCD of given numbers 688, 642, 768 is 2

2. How to calculate the greatest common divisor of 688, 642, 768?

We can find the highest common divisor of 688, 642, 768 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, 642, 768 i.e 2.

3. How can I use the GCD of 688, 642, 768Calculator?

Out the numbers 688, 642, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.