GCD of 470, 343, 404, 213 Calculator

Given Input numbers are 470, 343, 404, 213

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

Divisors of 470 :

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

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

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (470, 343, 404, 213) = 1.

Given numbers are 470, 343, 404, 213

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 343 are 7 x 7 x 7

Prime factors of 404 are 2 x 2 x 101

Prime factors of 213 are 3 x 71

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

Given numbers are 470, 343, 404, 213

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

Apply this formula for all numbers.

Step1:

LCM(470, 343) = 161210

GCD(470, 343) = ( 470 x 343 ) / 161210

= 470 / 343

= 470

Step2:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 470, 343, 404, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 264, 843, 775
• GCD of 665, 169, 448, 563
• GCD of 978, 377, 888, 210
• GCD of 326, 333, 678, 146
• GCD of 510, 857, 698, 430

Given numbers are 470, 343, 404, 213
The greatest common divisor of numbers 470, 343, 404, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 343, 404, 213 is 1.

1. What is the GCD of 470, 343, 404, 213?

GCD of given numbers 470, 343, 404, 213 is 1

2. How to calculate the greatest common divisor of 470, 343, 404, 213?

We can find the highest common divisor of 470, 343, 404, 213 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 470, 343, 404, 213 i.e 1.

3. How can I use the GCD of 470, 343, 404, 213Calculator?

Out the numbers 470, 343, 404, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.