GCD of 224, 284, 360, 828 Calculator

Given Input numbers are 224, 284, 360, 828

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (224, 284, 360, 828) = 4.

Given numbers are 224, 284, 360, 828

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 284 are 2 x 2 x 71

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2²

Therefore, GCD of 224, 284, 360, 828 is 4.

Given numbers are 224, 284, 360, 828

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

Apply this formula for all numbers.

Step1:

LCM(224, 284) = 15904

GCD(224, 284) = ( 224 x 284 ) / 15904

= 224 / 284

= 224

Step2:

LCM(4, 360) = 360

GCD(4, 360) = ( 4 x 360 ) / 360

= 4 / 360

= 4

Step3:

LCM(4, 828) = 828

GCD(4, 828) = ( 4 x 828 ) / 828

= 4 / 828

= 4

So, Greatest Common Divisor of 224, 284, 360, 828 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 209, 761, 302
• GCD of 623, 773, 722, 146
• GCD of 488, 207, 235, 661
• GCD of 614, 487, 941, 363
• GCD of 786, 629, 105, 989

Given numbers are 224, 284, 360, 828
The greatest common divisor of numbers 224, 284, 360, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 284, 360, 828 is 4.

1. What is the GCD of 224, 284, 360, 828?

GCD of given numbers 224, 284, 360, 828 is 4

2. How to calculate the greatest common divisor of 224, 284, 360, 828?

We can find the highest common divisor of 224, 284, 360, 828 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 224, 284, 360, 828 i.e 4.

3. How can I use the GCD of 224, 284, 360, 828Calculator?

Out the numbers 224, 284, 360, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.