GCD of 349, 967, 688, 314 Calculator

Given Input numbers are 349, 967, 688, 314

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 349, 967, 688, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 967, 688, 314 is 1.

Therefore, GCD of numbers 349, 967, 688, 314 is 1

Given Input Data is 349, 967, 688, 314

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

Prime Factorization of 349 is 349

Prime Factorization of 967 is 967

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 314 is 2 x 157

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(349, 967) = 337483

GCD(349, 967) = ( 349 x 967 ) / 337483

GCD(349, 967) = 337483 / 337483

GCD(349, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 349, 967, 688, 314 is 1

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1. What is the GCD of 349, 967, 688, 314?

GCD of 349, 967, 688, 314 is 1

2. Where do I get the detailed procedure to find GCD of 349, 967, 688, 314?

You can find a detailed procedure to find GCD of 349, 967, 688, 314 on our page.

3. How to find GCD of 349, 967, 688, 314 on a calculator?

You can find the GCD of 349, 967, 688, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.