GCD of 892, 464, 16, 824 Calculator

Given Input numbers are 892, 464, 16, 824

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

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 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 824 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (892, 464, 16, 824) = 4.

Given numbers are 892, 464, 16, 824

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 16 are 2 x 2 x 2 x 2

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

The highest common occurrence is 2²

Therefore, GCD of 892, 464, 16, 824 is 4.

Given numbers are 892, 464, 16, 824

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

Apply this formula for all numbers.

Step1:

LCM(892, 464) = 103472

GCD(892, 464) = ( 892 x 464 ) / 103472

= 892 / 464

= 892

Step2:

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

= 4 / 16

= 4

Step3:

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

= 4 / 824

= 4

So, Greatest Common Divisor of 892, 464, 16, 824 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 995, 66, 665
• GCD of 721, 287, 91, 869
• GCD of 291, 912, 66, 773
• GCD of 870, 299, 19, 429
• GCD of 762, 991, 13, 243

Given numbers are 892, 464, 16, 824
The greatest common divisor of numbers 892, 464, 16, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 464, 16, 824 is 4.

1. What is the GCD of 892, 464, 16, 824?

GCD of given numbers 892, 464, 16, 824 is 4

2. How to calculate the greatest common divisor of 892, 464, 16, 824?

We can find the highest common divisor of 892, 464, 16, 824 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 892, 464, 16, 824 i.e 4.

3. How can I use the GCD of 892, 464, 16, 824Calculator?

Out the numbers 892, 464, 16, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.