GCD of 688, 356, 49, 311 Calculator

Given Input numbers are 688, 356, 49, 311

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

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 356

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

1, 2, 4, 89, 178, 356

Divisors of 49

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

1, 7, 49

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 688, 356, 49, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 356, 49, 311 is 1.

Therefore, GCD of numbers 688, 356, 49, 311 is 1

Given Input Data is 688, 356, 49, 311

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

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 49 is 7 x 7

Prime Factorization of 311 is 311

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(688, 356) = 61232

GCD(688, 356) = ( 688 x 356 ) / 61232

GCD(688, 356) = 244928 / 61232

GCD(688, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 688, 356, 49, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 528, 966, 34, 829
• GCD of 569, 936, 37, 666
• GCD of 369, 856, 97, 227
• GCD of 408, 157, 86, 546
• GCD of 135, 133, 59, 228

1. What is the GCD of 688, 356, 49, 311?

GCD of 688, 356, 49, 311 is 1

2. Where do I get the detailed procedure to find GCD of 688, 356, 49, 311?

You can find a detailed procedure to find GCD of 688, 356, 49, 311 on our page.

3. How to find GCD of 688, 356, 49, 311 on a calculator?

You can find the GCD of 688, 356, 49, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.