GCD of 688, 516, 78, 668 Calculator

Given Input numbers are 688, 516, 78, 668

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

GCD of numbers is the greatest common divisor

So, the GCD (688, 516, 78, 668) = 2.

Given numbers are 688, 516, 78, 668

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 516 are 2 x 2 x 3 x 43

Prime factors of 78 are 2 x 3 x 13

Prime factors of 668 are 2 x 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 688, 516, 78, 668 is 2.

Given numbers are 688, 516, 78, 668

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

Apply this formula for all numbers.

Step1:

LCM(688, 516) = 2064

GCD(688, 516) = ( 688 x 516 ) / 2064

= 688 / 516

= 688

Step2:

LCM(172, 78) = 6708

GCD(172, 78) = ( 172 x 78 ) / 6708

= 172 / 78

= 172

Step3:

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

= 2 / 668

= 2

So, Greatest Common Divisor of 688, 516, 78, 668 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 404, 60, 291
• GCD of 583, 358, 13, 654
• GCD of 340, 238, 13, 937
• GCD of 445, 792, 81, 183
• GCD of 538, 982, 43, 431

Given numbers are 688, 516, 78, 668
The greatest common divisor of numbers 688, 516, 78, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 516, 78, 668 is 2.

1. What is the GCD of 688, 516, 78, 668?

GCD of given numbers 688, 516, 78, 668 is 2

2. How to calculate the greatest common divisor of 688, 516, 78, 668?

We can find the highest common divisor of 688, 516, 78, 668 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, 516, 78, 668 i.e 2.

3. How can I use the GCD of 688, 516, 78, 668Calculator?

Out the numbers 688, 516, 78, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.