GCD of 753, 514, 929, 308 Calculator

Given Input numbers are 753, 514, 929, 308

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 753, 514, 929, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 514, 929, 308 is 1.

Therefore, GCD of numbers 753, 514, 929, 308 is 1

Given Input Data is 753, 514, 929, 308

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 514 is 2 x 257

Prime Factorization of 929 is 929

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(753, 514) = 387042

GCD(753, 514) = ( 753 x 514 ) / 387042

GCD(753, 514) = 387042 / 387042

GCD(753, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 929

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

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

GCD(1, 929) = 929 / 929

GCD(1, 929) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 753, 514, 929, 308 is 1

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1. What is the GCD of 753, 514, 929, 308?

GCD of 753, 514, 929, 308 is 1

2. Where do I get the detailed procedure to find GCD of 753, 514, 929, 308?

You can find a detailed procedure to find GCD of 753, 514, 929, 308 on our page.

3. How to find GCD of 753, 514, 929, 308 on a calculator?

You can find the GCD of 753, 514, 929, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.