GCD of 343, 702, 49, 516 Calculator

Given Input numbers are 343, 702, 49, 516

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 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 343, 702, 49, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 702, 49, 516 is 1.

Therefore, GCD of numbers 343, 702, 49, 516 is 1

Given Input Data is 343, 702, 49, 516

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 49 is 7 x 7

Prime Factorization of 516 is 2 x 2 x 3 x 43

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 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 343, 702, 49, 516 is 1

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• GCD of 332, 676, 17, 998
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1. What is the GCD of 343, 702, 49, 516?

GCD of 343, 702, 49, 516 is 1

2. Where do I get the detailed procedure to find GCD of 343, 702, 49, 516?

You can find a detailed procedure to find GCD of 343, 702, 49, 516 on our page.

3. How to find GCD of 343, 702, 49, 516 on a calculator?

You can find the GCD of 343, 702, 49, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.