GCD of 514, 747, 583, 677 Calculator

Given Input numbers are 514, 747, 583, 677

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

Divisors of 514

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

1, 2, 257, 514

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 514, 747, 583, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 514, 747, 583, 677 is 1.

Therefore, GCD of numbers 514, 747, 583, 677 is 1

Given Input Data is 514, 747, 583, 677

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

Prime Factorization of 514 is 2 x 257

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 583 is 11 x 53

Prime Factorization of 677 is 677

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(514, 747) = 383958

GCD(514, 747) = ( 514 x 747 ) / 383958

GCD(514, 747) = 383958 / 383958

GCD(514, 747) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 514, 747, 583, 677 is 1

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1. What is the GCD of 514, 747, 583, 677?

GCD of 514, 747, 583, 677 is 1

2. Where do I get the detailed procedure to find GCD of 514, 747, 583, 677?

You can find a detailed procedure to find GCD of 514, 747, 583, 677 on our page.

3. How to find GCD of 514, 747, 583, 677 on a calculator?

You can find the GCD of 514, 747, 583, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.