GCD of 824, 188, 222, 272 Calculator

Given Input numbers are 824, 188, 222, 272

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 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (824, 188, 222, 272) = 2.

Given numbers are 824, 188, 222, 272

The list of prime factors of all numbers are

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

Prime factors of 188 are 2 x 2 x 47

Prime factors of 222 are 2 x 3 x 37

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 824, 188, 222, 272 is 2.

Given numbers are 824, 188, 222, 272

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

Apply this formula for all numbers.

Step1:

LCM(824, 188) = 38728

GCD(824, 188) = ( 824 x 188 ) / 38728

= 824 / 188

= 824

Step2:

LCM(4, 222) = 444

GCD(4, 222) = ( 4 x 222 ) / 444

= 4 / 222

= 4

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 824, 188, 222, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 524, 308, 730
• GCD of 401, 415, 949, 114
• GCD of 403, 345, 273, 807
• GCD of 932, 188, 402, 596
• GCD of 634, 924, 979, 413

Given numbers are 824, 188, 222, 272
The greatest common divisor of numbers 824, 188, 222, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 188, 222, 272 is 2.

1. What is the GCD of 824, 188, 222, 272?

GCD of given numbers 824, 188, 222, 272 is 2

2. How to calculate the greatest common divisor of 824, 188, 222, 272?

We can find the highest common divisor of 824, 188, 222, 272 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, 188, 222, 272 i.e 2.

3. How can I use the GCD of 824, 188, 222, 272Calculator?

Out the numbers 824, 188, 222, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.