GCD of 343, 702, 16, 619 Calculator

Given Input numbers are 343, 702, 16, 619

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Greatest Common Divisior

We found the divisors of 343, 702, 16, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 702, 16, 619 is 1.

Therefore, GCD of numbers 343, 702, 16, 619 is 1

Given Input Data is 343, 702, 16, 619

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 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 619 is 619

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, 702) = 240786

GCD(343, 702) = ( 343 x 702 ) / 240786

GCD(343, 702) = 240786 / 240786

GCD(343, 702) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 619

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

LCM(1, 619) = 619

GCD(1, 619) = ( 1 x 619 ) / 619

GCD(1, 619) = 619 / 619

GCD(1, 619) = 1

GCD of 343, 702, 16, 619 is 1

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1. What is the GCD of 343, 702, 16, 619?

GCD of 343, 702, 16, 619 is 1

2. Where do I get the detailed procedure to find GCD of 343, 702, 16, 619?

You can find a detailed procedure to find GCD of 343, 702, 16, 619 on our page.

3. How to find GCD of 343, 702, 16, 619 on a calculator?

You can find the GCD of 343, 702, 16, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.