GCD of 343, 171, 89, 114 Calculator

Given Input numbers are 343, 171, 89, 114

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 343, 171, 89, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 171, 89, 114 is 1.

Therefore, GCD of numbers 343, 171, 89, 114 is 1

Given Input Data is 343, 171, 89, 114

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 171 is 3 x 3 x 19

Prime Factorization of 89 is 89

Prime Factorization of 114 is 2 x 3 x 19

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, 171) = 58653

GCD(343, 171) = ( 343 x 171 ) / 58653

GCD(343, 171) = 58653 / 58653

GCD(343, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 343, 171, 89, 114 is 1

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• GCD of 341, 363, 13, 214
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• GCD of 173, 263, 23, 768

1. What is the GCD of 343, 171, 89, 114?

GCD of 343, 171, 89, 114 is 1

2. Where do I get the detailed procedure to find GCD of 343, 171, 89, 114?

You can find a detailed procedure to find GCD of 343, 171, 89, 114 on our page.

3. How to find GCD of 343, 171, 89, 114 on a calculator?

You can find the GCD of 343, 171, 89, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.