GCD of 679, 311, 606, 374 Calculator

Given Input numbers are 679, 311, 606, 374

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

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 311

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

1, 311

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 679, 311, 606, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 679, 311, 606, 374 is 1.

Therefore, GCD of numbers 679, 311, 606, 374 is 1

Given Input Data is 679, 311, 606, 374

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

Prime Factorization of 679 is 7 x 97

Prime Factorization of 311 is 311

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 374 is 2 x 11 x 17

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(679, 311) = 211169

GCD(679, 311) = ( 679 x 311 ) / 211169

GCD(679, 311) = 211169 / 211169

GCD(679, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 606

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

LCM(1, 606) = 606

GCD(1, 606) = ( 1 x 606 ) / 606

GCD(1, 606) = 606 / 606

GCD(1, 606) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 679, 311, 606, 374 is 1

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1. What is the GCD of 679, 311, 606, 374?

GCD of 679, 311, 606, 374 is 1

2. Where do I get the detailed procedure to find GCD of 679, 311, 606, 374?

You can find a detailed procedure to find GCD of 679, 311, 606, 374 on our page.

3. How to find GCD of 679, 311, 606, 374 on a calculator?

You can find the GCD of 679, 311, 606, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.