GCD of 238, 560, 503, 862 Calculator

Given Input numbers are 238, 560, 503, 862

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Greatest Common Divisior

We found the divisors of 238, 560, 503, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 560, 503, 862 is 1.

Therefore, GCD of numbers 238, 560, 503, 862 is 1

Given Input Data is 238, 560, 503, 862

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 503 is 503

Prime Factorization of 862 is 2 x 431

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(238, 560) = 9520

GCD(238, 560) = ( 238 x 560 ) / 9520

GCD(238, 560) = 133280 / 9520

GCD(238, 560) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 503

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

LCM(14, 503) = 7042

GCD(14, 503) = ( 14 x 503 ) / 7042

GCD(14, 503) = 7042 / 7042

GCD(14, 503) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 1

GCD of 238, 560, 503, 862 is 1

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1. What is the GCD of 238, 560, 503, 862?

GCD of 238, 560, 503, 862 is 1

2. Where do I get the detailed procedure to find GCD of 238, 560, 503, 862?

You can find a detailed procedure to find GCD of 238, 560, 503, 862 on our page.

3. How to find GCD of 238, 560, 503, 862 on a calculator?

You can find the GCD of 238, 560, 503, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.