GCD of 302, 948, 854, 500 Calculator

Given Input numbers are 302, 948, 854, 500

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

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 302, 948, 854, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 948, 854, 500 is 2.

Therefore, GCD of numbers 302, 948, 854, 500 is 2

Given Input Data is 302, 948, 854, 500

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(302, 948) = 143148

GCD(302, 948) = ( 302 x 948 ) / 143148

GCD(302, 948) = 286296 / 143148

GCD(302, 948) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 302, 948, 854, 500 is 2

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1. What is the GCD of 302, 948, 854, 500?

GCD of 302, 948, 854, 500 is 2

2. Where do I get the detailed procedure to find GCD of 302, 948, 854, 500?

You can find a detailed procedure to find GCD of 302, 948, 854, 500 on our page.

3. How to find GCD of 302, 948, 854, 500 on a calculator?

You can find the GCD of 302, 948, 854, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.