GCD of 712, 872, 392 Calculator

Given Input numbers are 712, 872, 392

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 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (712, 872, 392) = 8.

Given numbers are 712, 872, 392

The list of prime factors of all numbers are

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

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2³

Therefore, GCD of 712, 872, 392 is 8.

Given numbers are 712, 872, 392

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

Apply this formula for all numbers.

Step1:

LCM(712, 872) = 77608

GCD(712, 872) = ( 712 x 872 ) / 77608

= 712 / 872

= 712

Step2:

LCM(8, 392) = 392

GCD(8, 392) = ( 8 x 392 ) / 392

= 8 / 392

= 8

So, Greatest Common Divisor of 712, 872, 392 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 965, 280
• GCD of 429, 480, 810
• GCD of 907, 878, 228
• GCD of 164, 245, 834
• GCD of 515, 791, 454

Given numbers are 712, 872, 392
The greatest common divisor of numbers 712, 872, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 872, 392 is 8.

1. What is the GCD of 712, 872, 392?

GCD of given numbers 712, 872, 392 is 8

2. How to calculate the greatest common divisor of 712, 872, 392?

We can find the highest common divisor of 712, 872, 392 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, 872, 392 i.e 8.

3. How can I use the GCD of 712, 872, 392Calculator?

Out the numbers 712, 872, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.