GCD of 689, 343, 335, 356 Calculator

Given Input numbers are 689, 343, 335, 356

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 343

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

1, 7, 49, 343

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 689, 343, 335, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 343, 335, 356 is 1.

Therefore, GCD of numbers 689, 343, 335, 356 is 1

Given Input Data is 689, 343, 335, 356

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 335 is 5 x 67

Prime Factorization of 356 is 2 x 2 x 89

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(689, 343) = 236327

GCD(689, 343) = ( 689 x 343 ) / 236327

GCD(689, 343) = 236327 / 236327

GCD(689, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 689, 343, 335, 356 is 1

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1. What is the GCD of 689, 343, 335, 356?

GCD of 689, 343, 335, 356 is 1

2. Where do I get the detailed procedure to find GCD of 689, 343, 335, 356?

You can find a detailed procedure to find GCD of 689, 343, 335, 356 on our page.

3. How to find GCD of 689, 343, 335, 356 on a calculator?

You can find the GCD of 689, 343, 335, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.