GCD of 714, 678, 53, 511 Calculator

Given Input numbers are 714, 678, 53, 511

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Greatest Common Divisior

We found the divisors of 714, 678, 53, 511 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 678, 53, 511 is 1.

Therefore, GCD of numbers 714, 678, 53, 511 is 1

Given Input Data is 714, 678, 53, 511

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 53 is 53

Prime Factorization of 511 is 7 x 73

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(714, 678) = 80682

GCD(714, 678) = ( 714 x 678 ) / 80682

GCD(714, 678) = 484092 / 80682

GCD(714, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 53

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

LCM(6, 53) = 318

GCD(6, 53) = ( 6 x 53 ) / 318

GCD(6, 53) = 318 / 318

GCD(6, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 511

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

LCM(1, 511) = 511

GCD(1, 511) = ( 1 x 511 ) / 511

GCD(1, 511) = 511 / 511

GCD(1, 511) = 1

GCD of 714, 678, 53, 511 is 1

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• GCD of 353, 793, 47, 912
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1. What is the GCD of 714, 678, 53, 511?

GCD of 714, 678, 53, 511 is 1

2. Where do I get the detailed procedure to find GCD of 714, 678, 53, 511?

You can find a detailed procedure to find GCD of 714, 678, 53, 511 on our page.

3. How to find GCD of 714, 678, 53, 511 on a calculator?

You can find the GCD of 714, 678, 53, 511 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.