GCD of 472, 718, 214, 789 Calculator

Given Input numbers are 472, 718, 214, 789

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (472, 718, 214, 789) = 1.

Given numbers are 472, 718, 214, 789

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 718 are 2 x 359

Prime factors of 214 are 2 x 107

Prime factors of 789 are 3 x 263

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 472, 718, 214, 789

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

Apply this formula for all numbers.

Step1:

LCM(472, 718) = 169448

GCD(472, 718) = ( 472 x 718 ) / 169448

= 472 / 718

= 472

Step2:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

Step3:

LCM(2, 789) = 1578

GCD(2, 789) = ( 2 x 789 ) / 1578

= 2 / 789

= 2

So, Greatest Common Divisor of 472, 718, 214, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 235, 692, 393
• GCD of 513, 828, 801, 415
• GCD of 573, 589, 896, 137
• GCD of 310, 518, 375, 115
• GCD of 892, 709, 816, 601

Given numbers are 472, 718, 214, 789
The greatest common divisor of numbers 472, 718, 214, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 718, 214, 789 is 1.

1. What is the GCD of 472, 718, 214, 789?

GCD of given numbers 472, 718, 214, 789 is 1

2. How to calculate the greatest common divisor of 472, 718, 214, 789?

We can find the highest common divisor of 472, 718, 214, 789 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 472, 718, 214, 789 i.e 1.

3. How can I use the GCD of 472, 718, 214, 789Calculator?

Out the numbers 472, 718, 214, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.