GCD of 715, 731, 45, 527 Calculator

Given Input numbers are 715, 731, 45, 527

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

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 715, 731, 45, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 731, 45, 527 is 1.

Therefore, GCD of numbers 715, 731, 45, 527 is 1

Given Input Data is 715, 731, 45, 527

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

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 731 is 17 x 43

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 527 is 17 x 31

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(715, 731) = 522665

GCD(715, 731) = ( 715 x 731 ) / 522665

GCD(715, 731) = 522665 / 522665

GCD(715, 731) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 715, 731, 45, 527 is 1

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1. What is the GCD of 715, 731, 45, 527?

GCD of 715, 731, 45, 527 is 1

2. Where do I get the detailed procedure to find GCD of 715, 731, 45, 527?

You can find a detailed procedure to find GCD of 715, 731, 45, 527 on our page.

3. How to find GCD of 715, 731, 45, 527 on a calculator?

You can find the GCD of 715, 731, 45, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.