GCD of 502, 105, 711, 920 Calculator

Given Input numbers are 502, 105, 711, 920

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 502, 105, 711, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 105, 711, 920 is 1.

Therefore, GCD of numbers 502, 105, 711, 920 is 1

Given Input Data is 502, 105, 711, 920

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(502, 105) = 52710

GCD(502, 105) = ( 502 x 105 ) / 52710

GCD(502, 105) = 52710 / 52710

GCD(502, 105) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 502, 105, 711, 920 is 1

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1. What is the GCD of 502, 105, 711, 920?

GCD of 502, 105, 711, 920 is 1

2. Where do I get the detailed procedure to find GCD of 502, 105, 711, 920?

You can find a detailed procedure to find GCD of 502, 105, 711, 920 on our page.

3. How to find GCD of 502, 105, 711, 920 on a calculator?

You can find the GCD of 502, 105, 711, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.