GCD of 290, 742, 34, 746 Calculator

Given Input numbers are 290, 742, 34, 746

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 290, 742, 34, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 742, 34, 746 is 2.

Therefore, GCD of numbers 290, 742, 34, 746 is 2

Given Input Data is 290, 742, 34, 746

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 742 is 2 x 7 x 53

Prime Factorization of 34 is 2 x 17

Prime Factorization of 746 is 2 x 373

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 742) = 107590

GCD(290, 742) = ( 290 x 742 ) / 107590

GCD(290, 742) = 215180 / 107590

GCD(290, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 34

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

LCM(2, 34) = 34

GCD(2, 34) = ( 2 x 34 ) / 34

GCD(2, 34) = 68 / 34

GCD(2, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

GCD of 290, 742, 34, 746 is 2

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1. What is the GCD of 290, 742, 34, 746?

GCD of 290, 742, 34, 746 is 2

2. Where do I get the detailed procedure to find GCD of 290, 742, 34, 746?

You can find a detailed procedure to find GCD of 290, 742, 34, 746 on our page.

3. How to find GCD of 290, 742, 34, 746 on a calculator?

You can find the GCD of 290, 742, 34, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.