GCD of 634, 272, 488, 828 Calculator

Given Input numbers are 634, 272, 488, 828

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

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

GCD of numbers is the greatest common divisor

So, the GCD (634, 272, 488, 828) = 2.

Given numbers are 634, 272, 488, 828

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 488 are 2 x 2 x 2 x 61

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

The highest common occurrence is 2¹

Therefore, GCD of 634, 272, 488, 828 is 2.

Given numbers are 634, 272, 488, 828

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

Apply this formula for all numbers.

Step1:

LCM(634, 272) = 86224

GCD(634, 272) = ( 634 x 272 ) / 86224

= 634 / 272

= 634

Step2:

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

= 2 / 488

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 634, 272, 488, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 479, 882, 268
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Given numbers are 634, 272, 488, 828
The greatest common divisor of numbers 634, 272, 488, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 272, 488, 828 is 2.

1. What is the GCD of 634, 272, 488, 828?

GCD of given numbers 634, 272, 488, 828 is 2

2. How to calculate the greatest common divisor of 634, 272, 488, 828?

We can find the highest common divisor of 634, 272, 488, 828 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 634, 272, 488, 828 i.e 2.

3. How can I use the GCD of 634, 272, 488, 828Calculator?

Out the numbers 634, 272, 488, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.