GCD of 712, 228, 452 Calculator

Given Input numbers are 712, 228, 452

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (712, 228, 452) = 4.

Given numbers are 712, 228, 452

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2²

Therefore, GCD of 712, 228, 452 is 4.

Given numbers are 712, 228, 452

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

Apply this formula for all numbers.

Step1:

LCM(712, 228) = 40584

GCD(712, 228) = ( 712 x 228 ) / 40584

= 712 / 228

= 712

Step2:

LCM(4, 452) = 452

GCD(4, 452) = ( 4 x 452 ) / 452

= 4 / 452

= 4

So, Greatest Common Divisor of 712, 228, 452 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 583, 132, 988
• GCD of 124, 710, 160
• GCD of 871, 783, 352
• GCD of 248, 265, 471
• GCD of 872, 622, 627

Given numbers are 712, 228, 452
The greatest common divisor of numbers 712, 228, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 228, 452 is 4.

1. What is the GCD of 712, 228, 452?

GCD of given numbers 712, 228, 452 is 4

2. How to calculate the greatest common divisor of 712, 228, 452?

We can find the highest common divisor of 712, 228, 452 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 712, 228, 452 i.e 4.

3. How can I use the GCD of 712, 228, 452Calculator?

Out the numbers 712, 228, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.