GCD of 860, 502, 309, 523 Calculator

Given Input numbers are 860, 502, 309, 523

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

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 502

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

1, 2, 251, 502

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 860, 502, 309, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 502, 309, 523 is 1.

Therefore, GCD of numbers 860, 502, 309, 523 is 1

Given Input Data is 860, 502, 309, 523

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 502 is 2 x 251

Prime Factorization of 309 is 3 x 103

Prime Factorization of 523 is 523

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(860, 502) = 215860

GCD(860, 502) = ( 860 x 502 ) / 215860

GCD(860, 502) = 431720 / 215860

GCD(860, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 860, 502, 309, 523 is 1

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1. What is the GCD of 860, 502, 309, 523?

GCD of 860, 502, 309, 523 is 1

2. Where do I get the detailed procedure to find GCD of 860, 502, 309, 523?

You can find a detailed procedure to find GCD of 860, 502, 309, 523 on our page.

3. How to find GCD of 860, 502, 309, 523 on a calculator?

You can find the GCD of 860, 502, 309, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.