GCD of 820, 494, 388, 314 Calculator

Given Input numbers are 820, 494, 388, 314

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (820, 494, 388, 314) = 2.

Given numbers are 820, 494, 388, 314

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 494 are 2 x 13 x 19

Prime factors of 388 are 2 x 2 x 97

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 820, 494, 388, 314 is 2.

Given numbers are 820, 494, 388, 314

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

Apply this formula for all numbers.

Step1:

LCM(820, 494) = 202540

GCD(820, 494) = ( 820 x 494 ) / 202540

= 820 / 494

= 820

Step2:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 820, 494, 388, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 350, 718, 921
• GCD of 268, 503, 832, 881
• GCD of 184, 819, 160, 698
• GCD of 671, 111, 151, 949
• GCD of 303, 615, 677, 865

Given numbers are 820, 494, 388, 314
The greatest common divisor of numbers 820, 494, 388, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 494, 388, 314 is 2.

1. What is the GCD of 820, 494, 388, 314?

GCD of given numbers 820, 494, 388, 314 is 2

2. How to calculate the greatest common divisor of 820, 494, 388, 314?

We can find the highest common divisor of 820, 494, 388, 314 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 820, 494, 388, 314 i.e 2.

3. How can I use the GCD of 820, 494, 388, 314Calculator?

Out the numbers 820, 494, 388, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.