GCD of 503, 745, 35, 741 Calculator

Given Input numbers are 503, 745, 35, 741

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

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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 503, 745, 35, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 503, 745, 35, 741 is 1.

Therefore, GCD of numbers 503, 745, 35, 741 is 1

Given Input Data is 503, 745, 35, 741

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

Prime Factorization of 503 is 503

Prime Factorization of 745 is 5 x 149

Prime Factorization of 35 is 5 x 7

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(503, 745) = 374735

GCD(503, 745) = ( 503 x 745 ) / 374735

GCD(503, 745) = 374735 / 374735

GCD(503, 745) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 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 503, 745, 35, 741 is 1

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1. What is the GCD of 503, 745, 35, 741?

GCD of 503, 745, 35, 741 is 1

2. Where do I get the detailed procedure to find GCD of 503, 745, 35, 741?

You can find a detailed procedure to find GCD of 503, 745, 35, 741 on our page.

3. How to find GCD of 503, 745, 35, 741 on a calculator?

You can find the GCD of 503, 745, 35, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.