GCD of 263, 909, 53, 746 Calculator

Given Input numbers are 263, 909, 53, 746

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

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 53

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

1, 53

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 263, 909, 53, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 263, 909, 53, 746 is 1.

Therefore, GCD of numbers 263, 909, 53, 746 is 1

Given Input Data is 263, 909, 53, 746

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

Prime Factorization of 263 is 263

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 53 is 53

Prime Factorization of 746 is 2 x 373

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(263, 909) = 239067

GCD(263, 909) = ( 263 x 909 ) / 239067

GCD(263, 909) = 239067 / 239067

GCD(263, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 263, 909, 53, 746 is 1

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1. What is the GCD of 263, 909, 53, 746?

GCD of 263, 909, 53, 746 is 1

2. Where do I get the detailed procedure to find GCD of 263, 909, 53, 746?

You can find a detailed procedure to find GCD of 263, 909, 53, 746 on our page.

3. How to find GCD of 263, 909, 53, 746 on a calculator?

You can find the GCD of 263, 909, 53, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.