GCD of 814, 882, 794, 796 Calculator

Given Input numbers are 814, 882, 794, 796

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

Divisors of 814 :

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

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

GCD of numbers is the greatest common divisor

So, the GCD (814, 882, 794, 796) = 2.

Given numbers are 814, 882, 794, 796

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 794 are 2 x 397

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 814, 882, 794, 796 is 2.

Given numbers are 814, 882, 794, 796

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

Apply this formula for all numbers.

Step1:

LCM(814, 882) = 358974

GCD(814, 882) = ( 814 x 882 ) / 358974

= 814 / 882

= 814

Step2:

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

= 2 / 794

= 2

Step3:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2

So, Greatest Common Divisor of 814, 882, 794, 796 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 540, 935, 238, 303
• GCD of 966, 485, 747, 450
• GCD of 469, 913, 994, 622
• GCD of 150, 348, 937, 673
• GCD of 269, 753, 567, 335

Given numbers are 814, 882, 794, 796
The greatest common divisor of numbers 814, 882, 794, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 882, 794, 796 is 2.

1. What is the GCD of 814, 882, 794, 796?

GCD of given numbers 814, 882, 794, 796 is 2

2. How to calculate the greatest common divisor of 814, 882, 794, 796?

We can find the highest common divisor of 814, 882, 794, 796 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 814, 882, 794, 796 i.e 2.

3. How can I use the GCD of 814, 882, 794, 796Calculator?

Out the numbers 814, 882, 794, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.