GCD of 472, 705, 196, 398 Calculator

Given Input numbers are 472, 705, 196, 398

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 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (472, 705, 196, 398) = 1.

Given numbers are 472, 705, 196, 398

The list of prime factors of all numbers are

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

Prime factors of 705 are 3 x 5 x 47

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 398 are 2 x 199

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

Given numbers are 472, 705, 196, 398

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

Apply this formula for all numbers.

Step1:

LCM(472, 705) = 332760

GCD(472, 705) = ( 472 x 705 ) / 332760

= 472 / 705

= 472

Step2:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 472, 705, 196, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 722, 566, 898
• GCD of 459, 122, 553, 903
• GCD of 144, 812, 312, 171
• GCD of 769, 258, 838, 212
• GCD of 304, 570, 495, 665

Given numbers are 472, 705, 196, 398
The greatest common divisor of numbers 472, 705, 196, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 705, 196, 398 is 1.

1. What is the GCD of 472, 705, 196, 398?

GCD of given numbers 472, 705, 196, 398 is 1

2. How to calculate the greatest common divisor of 472, 705, 196, 398?

We can find the highest common divisor of 472, 705, 196, 398 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, 705, 196, 398 i.e 1.

3. How can I use the GCD of 472, 705, 196, 398Calculator?

Out the numbers 472, 705, 196, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.