GCD of 758, 340, 933, 149 Calculator

Given Input numbers are 758, 340, 933, 149

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

Divisors of 758

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

1, 2, 379, 758

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

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 758, 340, 933, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 340, 933, 149 is 1.

Therefore, GCD of numbers 758, 340, 933, 149 is 1

Given Input Data is 758, 340, 933, 149

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 933 is 3 x 311

Prime Factorization of 149 is 149

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(758, 340) = 128860

GCD(758, 340) = ( 758 x 340 ) / 128860

GCD(758, 340) = 257720 / 128860

GCD(758, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 933

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

LCM(2, 933) = 1866

GCD(2, 933) = ( 2 x 933 ) / 1866

GCD(2, 933) = 1866 / 1866

GCD(2, 933) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 758, 340, 933, 149 is 1

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1. What is the GCD of 758, 340, 933, 149?

GCD of 758, 340, 933, 149 is 1

2. Where do I get the detailed procedure to find GCD of 758, 340, 933, 149?

You can find a detailed procedure to find GCD of 758, 340, 933, 149 on our page.

3. How to find GCD of 758, 340, 933, 149 on a calculator?

You can find the GCD of 758, 340, 933, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.