GCD of 290, 709, 758, 697 Calculator

Given Input numbers are 290, 709, 758, 697

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

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 758

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

1, 2, 379, 758

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 290, 709, 758, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 709, 758, 697 is 1.

Therefore, GCD of numbers 290, 709, 758, 697 is 1

Given Input Data is 290, 709, 758, 697

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

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 709 is 709

Prime Factorization of 758 is 2 x 379

Prime Factorization of 697 is 17 x 41

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(290, 709) = 205610

GCD(290, 709) = ( 290 x 709 ) / 205610

GCD(290, 709) = 205610 / 205610

GCD(290, 709) = 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 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 290, 709, 758, 697 is 1

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1. What is the GCD of 290, 709, 758, 697?

GCD of 290, 709, 758, 697 is 1

2. Where do I get the detailed procedure to find GCD of 290, 709, 758, 697?

You can find a detailed procedure to find GCD of 290, 709, 758, 697 on our page.

3. How to find GCD of 290, 709, 758, 697 on a calculator?

You can find the GCD of 290, 709, 758, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.