GCD of 505, 275, 143, 946 Calculator

Given Input numbers are 505, 275, 143, 946

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 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 505, 275, 143, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 275, 143, 946 is 1.

Therefore, GCD of numbers 505, 275, 143, 946 is 1

Given Input Data is 505, 275, 143, 946

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 143 is 11 x 13

Prime Factorization of 946 is 2 x 11 x 43

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, 275) = 27775

GCD(505, 275) = ( 505 x 275 ) / 27775

GCD(505, 275) = 138875 / 27775

GCD(505, 275) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 143

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

LCM(5, 143) = 715

GCD(5, 143) = ( 5 x 143 ) / 715

GCD(5, 143) = 715 / 715

GCD(5, 143) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 505, 275, 143, 946 is 1

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1. What is the GCD of 505, 275, 143, 946?

GCD of 505, 275, 143, 946 is 1

2. Where do I get the detailed procedure to find GCD of 505, 275, 143, 946?

You can find a detailed procedure to find GCD of 505, 275, 143, 946 on our page.

3. How to find GCD of 505, 275, 143, 946 on a calculator?

You can find the GCD of 505, 275, 143, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.