GCD of 828, 464, 508, 728 Calculator

Given Input numbers are 828, 464, 508, 728

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (828, 464, 508, 728) = 4.

Given numbers are 828, 464, 508, 728

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 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 508 are 2 x 2 x 127

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2²

Therefore, GCD of 828, 464, 508, 728 is 4.

Given numbers are 828, 464, 508, 728

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

Apply this formula for all numbers.

Step1:

LCM(828, 464) = 96048

GCD(828, 464) = ( 828 x 464 ) / 96048

= 828 / 464

= 828

Step2:

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

= 4 / 508

= 4

Step3:

LCM(4, 728) = 728

GCD(4, 728) = ( 4 x 728 ) / 728

= 4 / 728

= 4

So, Greatest Common Divisor of 828, 464, 508, 728 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 794, 976, 718
• GCD of 171, 101, 740, 461
• GCD of 849, 936, 283, 924
• GCD of 625, 267, 353, 840
• GCD of 458, 397, 737, 291

Given numbers are 828, 464, 508, 728
The greatest common divisor of numbers 828, 464, 508, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 464, 508, 728 is 4.

1. What is the GCD of 828, 464, 508, 728?

GCD of given numbers 828, 464, 508, 728 is 4

2. How to calculate the greatest common divisor of 828, 464, 508, 728?

We can find the highest common divisor of 828, 464, 508, 728 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, 464, 508, 728 i.e 4.

3. How can I use the GCD of 828, 464, 508, 728Calculator?

Out the numbers 828, 464, 508, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.