GCD of 824, 320, 54 Calculator

Given Input numbers are 824, 320, 54

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

GCD of numbers is the greatest common divisor

So, the GCD (824, 320, 54) = 2.

Given numbers are 824, 320, 54

The list of prime factors of all numbers are

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

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 54 are 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 824, 320, 54 is 2.

Given numbers are 824, 320, 54

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

Apply this formula for all numbers.

Step1:

LCM(824, 320) = 32960

GCD(824, 320) = ( 824 x 320 ) / 32960

= 824 / 320

= 824

Step2:

LCM(8, 54) = 216

GCD(8, 54) = ( 8 x 54 ) / 216

= 8 / 54

= 8

So, Greatest Common Divisor of 824, 320, 54 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 557, 33
• GCD of 499, 319, 37
• GCD of 840, 397, 95
• GCD of 751, 876, 12
• GCD of 241, 690, 87

Given numbers are 824, 320, 54
The greatest common divisor of numbers 824, 320, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 320, 54 is 2.

1. What is the GCD of 824, 320, 54?

GCD of given numbers 824, 320, 54 is 2

2. How to calculate the greatest common divisor of 824, 320, 54?

We can find the highest common divisor of 824, 320, 54 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, 320, 54 i.e 2.

3. How can I use the GCD of 824, 320, 54Calculator?

Out the numbers 824, 320, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.