GCD of 343, 846, 23, 642 Calculator

Given Input numbers are 343, 846, 23, 642

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 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 343, 846, 23, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 846, 23, 642 is 1.

Therefore, GCD of numbers 343, 846, 23, 642 is 1

Given Input Data is 343, 846, 23, 642

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 846 is 2 x 3 x 3 x 47

Prime Factorization of 23 is 23

Prime Factorization of 642 is 2 x 3 x 107

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, 846) = 290178

GCD(343, 846) = ( 343 x 846 ) / 290178

GCD(343, 846) = 290178 / 290178

GCD(343, 846) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 343, 846, 23, 642 is 1

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1. What is the GCD of 343, 846, 23, 642?

GCD of 343, 846, 23, 642 is 1

2. Where do I get the detailed procedure to find GCD of 343, 846, 23, 642?

You can find a detailed procedure to find GCD of 343, 846, 23, 642 on our page.

3. How to find GCD of 343, 846, 23, 642 on a calculator?

You can find the GCD of 343, 846, 23, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.