GCD of 343, 423, 480, 416 Calculator

Given Input numbers are 343, 423, 480, 416

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 343, 423, 480, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 423, 480, 416 is 1.

Therefore, GCD of numbers 343, 423, 480, 416 is 1

Given Input Data is 343, 423, 480, 416

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(343, 423) = 145089

GCD(343, 423) = ( 343 x 423 ) / 145089

GCD(343, 423) = 145089 / 145089

GCD(343, 423) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 343, 423, 480, 416 is 1

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• GCD of 573, 501, 468, 952
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• GCD of 146, 110, 897, 933

1. What is the GCD of 343, 423, 480, 416?

GCD of 343, 423, 480, 416 is 1

2. Where do I get the detailed procedure to find GCD of 343, 423, 480, 416?

You can find a detailed procedure to find GCD of 343, 423, 480, 416 on our page.

3. How to find GCD of 343, 423, 480, 416 on a calculator?

You can find the GCD of 343, 423, 480, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.