GCD of 492, 496, 364, 314 Calculator

Given Input numbers are 492, 496, 364, 314

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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 (492, 496, 364, 314) = 2.

Given numbers are 492, 496, 364, 314

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

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

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 492, 496, 364, 314 is 2.

Given numbers are 492, 496, 364, 314

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

Apply this formula for all numbers.

Step1:

LCM(492, 496) = 61008

GCD(492, 496) = ( 492 x 496 ) / 61008

= 492 / 496

= 492

Step2:

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

= 4 / 364

= 4

Step3:

LCM(4, 314) = 628

GCD(4, 314) = ( 4 x 314 ) / 628

= 4 / 314

= 4

So, Greatest Common Divisor of 492, 496, 364, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 611, 490, 534
• GCD of 178, 948, 296, 851
• GCD of 751, 119, 854, 872
• GCD of 164, 667, 851, 985
• GCD of 631, 315, 711, 508

Given numbers are 492, 496, 364, 314
The greatest common divisor of numbers 492, 496, 364, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 496, 364, 314 is 2.

1. What is the GCD of 492, 496, 364, 314?

GCD of given numbers 492, 496, 364, 314 is 2

2. How to calculate the greatest common divisor of 492, 496, 364, 314?

We can find the highest common divisor of 492, 496, 364, 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 492, 496, 364, 314 i.e 2.

3. How can I use the GCD of 492, 496, 364, 314Calculator?

Out the numbers 492, 496, 364, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.