GCD of 824, 320, 946, 288 Calculator

Given Input numbers are 824, 320, 946, 288

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 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

GCD of numbers is the greatest common divisor

So, the GCD (824, 320, 946, 288) = 2.

Given numbers are 824, 320, 946, 288

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 946 are 2 x 11 x 43

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 824, 320, 946, 288 is 2.

Given numbers are 824, 320, 946, 288

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, 946) = 3784

GCD(8, 946) = ( 8 x 946 ) / 3784

= 8 / 946

= 8

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 824, 320, 946, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 954, 412, 303
• GCD of 196, 322, 990, 584
• GCD of 400, 392, 644, 851
• GCD of 344, 646, 507, 882
• GCD of 516, 794, 308, 557

Given numbers are 824, 320, 946, 288
The greatest common divisor of numbers 824, 320, 946, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 320, 946, 288 is 2.

1. What is the GCD of 824, 320, 946, 288?

GCD of given numbers 824, 320, 946, 288 is 2

2. How to calculate the greatest common divisor of 824, 320, 946, 288?

We can find the highest common divisor of 824, 320, 946, 288 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, 946, 288 i.e 2.

3. How can I use the GCD of 824, 320, 946, 288Calculator?

Out the numbers 824, 320, 946, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.