GCD of 715, 434, 45, 741 Calculator

Given Input numbers are 715, 434, 45, 741

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 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 715, 434, 45, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 715, 434, 45, 741 is 1.

Therefore, GCD of numbers 715, 434, 45, 741 is 1

Given Input Data is 715, 434, 45, 741

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 434 is 2 x 7 x 31

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 741 is 3 x 13 x 19

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, 434) = 310310

GCD(715, 434) = ( 715 x 434 ) / 310310

GCD(715, 434) = 310310 / 310310

GCD(715, 434) = 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 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 715, 434, 45, 741 is 1

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1. What is the GCD of 715, 434, 45, 741?

GCD of 715, 434, 45, 741 is 1

2. Where do I get the detailed procedure to find GCD of 715, 434, 45, 741?

You can find a detailed procedure to find GCD of 715, 434, 45, 741 on our page.

3. How to find GCD of 715, 434, 45, 741 on a calculator?

You can find the GCD of 715, 434, 45, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.