GCD of 505, 940, 986, 653 Calculator

Given Input numbers are 505, 940, 986, 653

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 505, 940, 986, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 940, 986, 653 is 1.

Therefore, GCD of numbers 505, 940, 986, 653 is 1

Given Input Data is 505, 940, 986, 653

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 653 is 653

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, 940) = 94940

GCD(505, 940) = ( 505 x 940 ) / 94940

GCD(505, 940) = 474700 / 94940

GCD(505, 940) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 986

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

LCM(5, 986) = 4930

GCD(5, 986) = ( 5 x 986 ) / 4930

GCD(5, 986) = 4930 / 4930

GCD(5, 986) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 505, 940, 986, 653 is 1

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1. What is the GCD of 505, 940, 986, 653?

GCD of 505, 940, 986, 653 is 1

2. Where do I get the detailed procedure to find GCD of 505, 940, 986, 653?

You can find a detailed procedure to find GCD of 505, 940, 986, 653 on our page.

3. How to find GCD of 505, 940, 986, 653 on a calculator?

You can find the GCD of 505, 940, 986, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.