GCD of 688, 656, 960, 716 Calculator

Given Input numbers are 688, 656, 960, 716

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 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (688, 656, 960, 716) = 4.

Given numbers are 688, 656, 960, 716

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 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2²

Therefore, GCD of 688, 656, 960, 716 is 4.

Given numbers are 688, 656, 960, 716

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

Apply this formula for all numbers.

Step1:

LCM(688, 656) = 28208

GCD(688, 656) = ( 688 x 656 ) / 28208

= 688 / 656

= 688

Step2:

LCM(16, 960) = 960

GCD(16, 960) = ( 16 x 960 ) / 960

= 16 / 960

= 16

Step3:

LCM(16, 716) = 2864

GCD(16, 716) = ( 16 x 716 ) / 2864

= 16 / 716

= 16

So, Greatest Common Divisor of 688, 656, 960, 716 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 901, 713, 783
• GCD of 846, 608, 664, 945
• GCD of 259, 377, 732, 754
• GCD of 365, 958, 477, 226
• GCD of 715, 265, 623, 633

Given numbers are 688, 656, 960, 716
The greatest common divisor of numbers 688, 656, 960, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 656, 960, 716 is 4.

1. What is the GCD of 688, 656, 960, 716?

GCD of given numbers 688, 656, 960, 716 is 4

2. How to calculate the greatest common divisor of 688, 656, 960, 716?

We can find the highest common divisor of 688, 656, 960, 716 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, 656, 960, 716 i.e 4.

3. How can I use the GCD of 688, 656, 960, 716Calculator?

Out the numbers 688, 656, 960, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.