GCD of 290, 775, 744, 343 Calculator

Given Input numbers are 290, 775, 744, 343

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 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 290, 775, 744, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 775, 744, 343 is 1.

Therefore, GCD of numbers 290, 775, 744, 343 is 1

Given Input Data is 290, 775, 744, 343

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 775 is 5 x 5 x 31

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 343 is 7 x 7 x 7

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, 775) = 44950

GCD(290, 775) = ( 290 x 775 ) / 44950

GCD(290, 775) = 224750 / 44950

GCD(290, 775) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 744

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

LCM(5, 744) = 3720

GCD(5, 744) = ( 5 x 744 ) / 3720

GCD(5, 744) = 3720 / 3720

GCD(5, 744) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 290, 775, 744, 343 is 1

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1. What is the GCD of 290, 775, 744, 343?

GCD of 290, 775, 744, 343 is 1

2. Where do I get the detailed procedure to find GCD of 290, 775, 744, 343?

You can find a detailed procedure to find GCD of 290, 775, 744, 343 on our page.

3. How to find GCD of 290, 775, 744, 343 on a calculator?

You can find the GCD of 290, 775, 744, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.