GCD of 496, 214, 812, 686 Calculator

Given Input numbers are 496, 214, 812, 686

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (496, 214, 812, 686) = 2.

Given numbers are 496, 214, 812, 686

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 214 are 2 x 107

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 496, 214, 812, 686 is 2.

Given numbers are 496, 214, 812, 686

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

Apply this formula for all numbers.

Step1:

LCM(496, 214) = 53072

GCD(496, 214) = ( 496 x 214 ) / 53072

= 496 / 214

= 496

Step2:

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

= 2 / 812

= 2

Step3:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

So, Greatest Common Divisor of 496, 214, 812, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 227, 125, 404
• GCD of 378, 443, 443, 349
• GCD of 148, 489, 682, 692
• GCD of 823, 521, 360, 288
• GCD of 135, 419, 131, 606

Given numbers are 496, 214, 812, 686
The greatest common divisor of numbers 496, 214, 812, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 214, 812, 686 is 2.

1. What is the GCD of 496, 214, 812, 686?

GCD of given numbers 496, 214, 812, 686 is 2

2. How to calculate the greatest common divisor of 496, 214, 812, 686?

We can find the highest common divisor of 496, 214, 812, 686 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 496, 214, 812, 686 i.e 2.

3. How can I use the GCD of 496, 214, 812, 686Calculator?

Out the numbers 496, 214, 812, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.