GCD of 746, 291, 41, 340 Calculator

Given Input numbers are 746, 291, 41, 340

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

Divisors of 746

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

1, 2, 373, 746

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 746, 291, 41, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 291, 41, 340 is 1.

Therefore, GCD of numbers 746, 291, 41, 340 is 1

Given Input Data is 746, 291, 41, 340

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 291 is 3 x 97

Prime Factorization of 41 is 41

Prime Factorization of 340 is 2 x 2 x 5 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(746, 291) = 217086

GCD(746, 291) = ( 746 x 291 ) / 217086

GCD(746, 291) = 217086 / 217086

GCD(746, 291) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 41

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

LCM(1, 41) = 41

GCD(1, 41) = ( 1 x 41 ) / 41

GCD(1, 41) = 41 / 41

GCD(1, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 746, 291, 41, 340 is 1

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1. What is the GCD of 746, 291, 41, 340?

GCD of 746, 291, 41, 340 is 1

2. Where do I get the detailed procedure to find GCD of 746, 291, 41, 340?

You can find a detailed procedure to find GCD of 746, 291, 41, 340 on our page.

3. How to find GCD of 746, 291, 41, 340 on a calculator?

You can find the GCD of 746, 291, 41, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.