GCD of 890, 146, 502, 316 Calculator

Given Input numbers are 890, 146, 502, 316

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 502

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

1, 2, 251, 502

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 890, 146, 502, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 146, 502, 316 is 2.

Therefore, GCD of numbers 890, 146, 502, 316 is 2

Given Input Data is 890, 146, 502, 316

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 146 is 2 x 73

Prime Factorization of 502 is 2 x 251

Prime Factorization of 316 is 2 x 2 x 79

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(890, 146) = 64970

GCD(890, 146) = ( 890 x 146 ) / 64970

GCD(890, 146) = 129940 / 64970

GCD(890, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 316

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

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

GCD(2, 316) = 632 / 316

GCD(2, 316) = 2

GCD of 890, 146, 502, 316 is 2

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1. What is the GCD of 890, 146, 502, 316?

GCD of 890, 146, 502, 316 is 2

2. Where do I get the detailed procedure to find GCD of 890, 146, 502, 316?

You can find a detailed procedure to find GCD of 890, 146, 502, 316 on our page.

3. How to find GCD of 890, 146, 502, 316 on a calculator?

You can find the GCD of 890, 146, 502, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.