GCD of 505, 973, 91, 308 Calculator

Given Input numbers are 505, 973, 91, 308

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 505, 973, 91, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 973, 91, 308 is 1.

Therefore, GCD of numbers 505, 973, 91, 308 is 1

Given Input Data is 505, 973, 91, 308

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 973 is 7 x 139

Prime Factorization of 91 is 7 x 13

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(505, 973) = 491365

GCD(505, 973) = ( 505 x 973 ) / 491365

GCD(505, 973) = 491365 / 491365

GCD(505, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 91

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

LCM(1, 91) = 91

GCD(1, 91) = ( 1 x 91 ) / 91

GCD(1, 91) = 91 / 91

GCD(1, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 505, 973, 91, 308 is 1

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1. What is the GCD of 505, 973, 91, 308?

GCD of 505, 973, 91, 308 is 1

2. Where do I get the detailed procedure to find GCD of 505, 973, 91, 308?

You can find a detailed procedure to find GCD of 505, 973, 91, 308 on our page.

3. How to find GCD of 505, 973, 91, 308 on a calculator?

You can find the GCD of 505, 973, 91, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.