GCD of 996, 642, 514, 656 Calculator

Given Input numbers are 996, 642, 514, 656

In the factoring method, we have to find the divisors of all numbers

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 642 :

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

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

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 656 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (996, 642, 514, 656) = 2.

Given numbers are 996, 642, 514, 656

The list of prime factors of all numbers are

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 642 are 2 x 3 x 107

Prime factors of 514 are 2 x 257

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

The highest common occurrence is 2¹

Therefore, GCD of 996, 642, 514, 656 is 2.

Given numbers are 996, 642, 514, 656

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

Apply this formula for all numbers.

Step1:

LCM(996, 642) = 106572

GCD(996, 642) = ( 996 x 642 ) / 106572

= 996 / 642

= 996

Step2:

LCM(6, 514) = 1542

GCD(6, 514) = ( 6 x 514 ) / 1542

= 6 / 514

= 6

Step3:

LCM(2, 656) = 656

GCD(2, 656) = ( 2 x 656 ) / 656

= 2 / 656

= 2

So, Greatest Common Divisor of 996, 642, 514, 656 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 261, 630, 423
• GCD of 426, 355, 597, 635
• GCD of 474, 930, 304, 930
• GCD of 528, 860, 481, 802
• GCD of 988, 863, 395, 866

Given numbers are 996, 642, 514, 656
The greatest common divisor of numbers 996, 642, 514, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 642, 514, 656 is 2.

1. What is the GCD of 996, 642, 514, 656?

GCD of given numbers 996, 642, 514, 656 is 2

2. How to calculate the greatest common divisor of 996, 642, 514, 656?

We can find the highest common divisor of 996, 642, 514, 656 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 996, 642, 514, 656 i.e 2.

3. How can I use the GCD of 996, 642, 514, 656Calculator?

Out the numbers 996, 642, 514, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.