GCD of 996, 814, 638, 266 Calculator

Given Input numbers are 996, 814, 638, 266

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

GCD of numbers is the greatest common divisor

So, the GCD (996, 814, 638, 266) = 2.

Given numbers are 996, 814, 638, 266

The list of prime factors of all numbers are

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

Prime factors of 814 are 2 x 11 x 37

Prime factors of 638 are 2 x 11 x 29

Prime factors of 266 are 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 996, 814, 638, 266 is 2.

Given numbers are 996, 814, 638, 266

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

Apply this formula for all numbers.

Step1:

LCM(996, 814) = 405372

GCD(996, 814) = ( 996 x 814 ) / 405372

= 996 / 814

= 996

Step2:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

Step3:

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

= 2 / 266

= 2

So, Greatest Common Divisor of 996, 814, 638, 266 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 702, 180, 461, 292
• GCD of 638, 364, 245, 251
• GCD of 284, 251, 674, 551
• GCD of 493, 380, 914, 451
• GCD of 564, 210, 350, 181

Given numbers are 996, 814, 638, 266
The greatest common divisor of numbers 996, 814, 638, 266 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 814, 638, 266 is 2.

1. What is the GCD of 996, 814, 638, 266?

GCD of given numbers 996, 814, 638, 266 is 2

2. How to calculate the greatest common divisor of 996, 814, 638, 266?

We can find the highest common divisor of 996, 814, 638, 266 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, 814, 638, 266 i.e 2.

3. How can I use the GCD of 996, 814, 638, 266Calculator?

Out the numbers 996, 814, 638, 266 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.