GCD of 331, 220, 758, 714 Calculator

Given Input numbers are 331, 220, 758, 714

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

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 331, 220, 758, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 331, 220, 758, 714 is 1.

Therefore, GCD of numbers 331, 220, 758, 714 is 1

Given Input Data is 331, 220, 758, 714

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

Prime Factorization of 331 is 331

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 758 is 2 x 379

Prime Factorization of 714 is 2 x 3 x 7 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(331, 220) = 72820

GCD(331, 220) = ( 331 x 220 ) / 72820

GCD(331, 220) = 72820 / 72820

GCD(331, 220) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 331, 220, 758, 714 is 1

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1. What is the GCD of 331, 220, 758, 714?

GCD of 331, 220, 758, 714 is 1

2. Where do I get the detailed procedure to find GCD of 331, 220, 758, 714?

You can find a detailed procedure to find GCD of 331, 220, 758, 714 on our page.

3. How to find GCD of 331, 220, 758, 714 on a calculator?

You can find the GCD of 331, 220, 758, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.