GCD of 704, 398, 259, 423 Calculator

Given Input numbers are 704, 398, 259, 423

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 398 :

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

1, 2, 199, 398

Divisors of 259 :

The positive integer divisors of 259 that completely divides 259 are.

1, 7, 37, 259

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (704, 398, 259, 423) = 1.

Given numbers are 704, 398, 259, 423

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 398 are 2 x 199

Prime factors of 259 are 7 x 37

Prime factors of 423 are 3 x 3 x 47

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

Given numbers are 704, 398, 259, 423

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

Apply this formula for all numbers.

Step1:

LCM(704, 398) = 140096

GCD(704, 398) = ( 704 x 398 ) / 140096

= 704 / 398

= 704

Step2:

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

= 2 / 259

= 2

Step3:

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

= 1 / 423

= 1

So, Greatest Common Divisor of 704, 398, 259, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 677, 686, 851
• GCD of 270, 887, 457, 976
• GCD of 562, 882, 659, 269
• GCD of 193, 316, 282, 772
• GCD of 748, 485, 147, 833

Given numbers are 704, 398, 259, 423
The greatest common divisor of numbers 704, 398, 259, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 398, 259, 423 is 1.

1. What is the GCD of 704, 398, 259, 423?

GCD of given numbers 704, 398, 259, 423 is 1

2. How to calculate the greatest common divisor of 704, 398, 259, 423?

We can find the highest common divisor of 704, 398, 259, 423 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 704, 398, 259, 423 i.e 1.

3. How can I use the GCD of 704, 398, 259, 423Calculator?

Out the numbers 704, 398, 259, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.