GCD of 828, 352, 408, 494 Calculator

Given Input numbers are 828, 352, 408, 494

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 494 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (828, 352, 408, 494) = 2.

Given numbers are 828, 352, 408, 494

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 828, 352, 408, 494 is 2.

Given numbers are 828, 352, 408, 494

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

Apply this formula for all numbers.

Step1:

LCM(828, 352) = 72864

GCD(828, 352) = ( 828 x 352 ) / 72864

= 828 / 352

= 828

Step2:

LCM(4, 408) = 408

GCD(4, 408) = ( 4 x 408 ) / 408

= 4 / 408

= 4

Step3:

LCM(4, 494) = 988

GCD(4, 494) = ( 4 x 494 ) / 988

= 4 / 494

= 4

So, Greatest Common Divisor of 828, 352, 408, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 972, 539, 204
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• GCD of 610, 475, 542, 627

Given numbers are 828, 352, 408, 494
The greatest common divisor of numbers 828, 352, 408, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 352, 408, 494 is 2.

1. What is the GCD of 828, 352, 408, 494?

GCD of given numbers 828, 352, 408, 494 is 2

2. How to calculate the greatest common divisor of 828, 352, 408, 494?

We can find the highest common divisor of 828, 352, 408, 494 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 828, 352, 408, 494 i.e 2.

3. How can I use the GCD of 828, 352, 408, 494Calculator?

Out the numbers 828, 352, 408, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.