GCD of 824, 332, 104, 460 Calculator

Given Input numbers are 824, 332, 104, 460

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (824, 332, 104, 460) = 4.

Given numbers are 824, 332, 104, 460

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 332 are 2 x 2 x 83

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 460 are 2 x 2 x 5 x 23

The highest common occurrence is 2²

Therefore, GCD of 824, 332, 104, 460 is 4.

Given numbers are 824, 332, 104, 460

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

Apply this formula for all numbers.

Step1:

LCM(824, 332) = 68392

GCD(824, 332) = ( 824 x 332 ) / 68392

= 824 / 332

= 824

Step2:

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

= 4 / 104

= 4

Step3:

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

= 4 / 460

= 4

So, Greatest Common Divisor of 824, 332, 104, 460 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 749, 741, 333
• GCD of 686, 401, 947, 321
• GCD of 688, 723, 787, 113
• GCD of 998, 357, 572, 644
• GCD of 721, 288, 464, 470

Given numbers are 824, 332, 104, 460
The greatest common divisor of numbers 824, 332, 104, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 332, 104, 460 is 4.

1. What is the GCD of 824, 332, 104, 460?

GCD of given numbers 824, 332, 104, 460 is 4

2. How to calculate the greatest common divisor of 824, 332, 104, 460?

We can find the highest common divisor of 824, 332, 104, 460 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 824, 332, 104, 460 i.e 4.

3. How can I use the GCD of 824, 332, 104, 460Calculator?

Out the numbers 824, 332, 104, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.