GCD of 264, 494, 494, 364 Calculator

Given Input numbers are 264, 494, 494, 364

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 494 :

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

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

Divisors of 494 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (264, 494, 494, 364) = 2.

Given numbers are 264, 494, 494, 364

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 494 are 2 x 13 x 19

Prime factors of 494 are 2 x 13 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 264, 494, 494, 364 is 2.

Given numbers are 264, 494, 494, 364

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

Apply this formula for all numbers.

Step1:

LCM(264, 494) = 65208

GCD(264, 494) = ( 264 x 494 ) / 65208

= 264 / 494

= 264

Step2:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 264, 494, 494, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 240, 785, 547
• GCD of 671, 707, 873, 967
• GCD of 463, 258, 936, 442
• GCD of 969, 770, 546, 645
• GCD of 356, 536, 455, 736

Given numbers are 264, 494, 494, 364
The greatest common divisor of numbers 264, 494, 494, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 494, 494, 364 is 2.

1. What is the GCD of 264, 494, 494, 364?

GCD of given numbers 264, 494, 494, 364 is 2

2. How to calculate the greatest common divisor of 264, 494, 494, 364?

We can find the highest common divisor of 264, 494, 494, 364 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 264, 494, 494, 364 i.e 2.

3. How can I use the GCD of 264, 494, 494, 364Calculator?

Out the numbers 264, 494, 494, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.