GCD of 704, 470, 632, 398 Calculator

Given Input numbers are 704, 470, 632, 398

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

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 (704, 470, 632, 398) = 2.

Given numbers are 704, 470, 632, 398

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 470 are 2 x 5 x 47

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 704, 470, 632, 398 is 2.

Given numbers are 704, 470, 632, 398

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

Apply this formula for all numbers.

Step1:

LCM(704, 470) = 165440

GCD(704, 470) = ( 704 x 470 ) / 165440

= 704 / 470

= 704

Step2:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

Step3:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

So, Greatest Common Divisor of 704, 470, 632, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 826, 151, 180
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• GCD of 703, 671, 237, 353
• GCD of 583, 590, 952, 699
• GCD of 594, 173, 627, 898

Given numbers are 704, 470, 632, 398
The greatest common divisor of numbers 704, 470, 632, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 470, 632, 398 is 2.

1. What is the GCD of 704, 470, 632, 398?

GCD of given numbers 704, 470, 632, 398 is 2

2. How to calculate the greatest common divisor of 704, 470, 632, 398?

We can find the highest common divisor of 704, 470, 632, 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 704, 470, 632, 398 i.e 2.

3. How can I use the GCD of 704, 470, 632, 398Calculator?

Out the numbers 704, 470, 632, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.