GCD of 986, 508, 796 Calculator

Given Input numbers are 986, 508, 796

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

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

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 (986, 508, 796) = 2.

Given numbers are 986, 508, 796

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 508 are 2 x 2 x 127

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 986, 508, 796 is 2.

Given numbers are 986, 508, 796

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

Apply this formula for all numbers.

Step1:

LCM(986, 508) = 250444

GCD(986, 508) = ( 986 x 508 ) / 250444

= 986 / 508

= 986

Step2:

LCM(2, 796) = 796

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

= 2 / 796

= 2

So, Greatest Common Divisor of 986, 508, 796 is 2

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Given numbers are 986, 508, 796
The greatest common divisor of numbers 986, 508, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 508, 796 is 2.

1. What is the GCD of 986, 508, 796?

GCD of given numbers 986, 508, 796 is 2

2. How to calculate the greatest common divisor of 986, 508, 796?

We can find the highest common divisor of 986, 508, 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 986, 508, 796 i.e 2.

3. How can I use the GCD of 986, 508, 796Calculator?

Out the numbers 986, 508, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.