GCD of 316, 158, 872, 890 Calculator

Given Input numbers are 316, 158, 872, 890

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

Divisors of 316

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

1, 2, 4, 79, 158, 316

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 890

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

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

Greatest Common Divisior

We found the divisors of 316, 158, 872, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 158, 872, 890 is 2.

Therefore, GCD of numbers 316, 158, 872, 890 is 2

Given Input Data is 316, 158, 872, 890

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 158 is 2 x 79

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 890 is 2 x 5 x 89

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(316, 158) = 316

GCD(316, 158) = ( 316 x 158 ) / 316

GCD(316, 158) = 49928 / 316

GCD(316, 158) = 158

Step2:

Here we consider the GCD from the above i.e. 158 as first number and the next as 872

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

LCM(158, 872) = 68888

GCD(158, 872) = ( 158 x 872 ) / 68888

GCD(158, 872) = 137776 / 68888

GCD(158, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 890

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

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

GCD(2, 890) = 1780 / 890

GCD(2, 890) = 2

GCD of 316, 158, 872, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 928, 166, 147, 683
• GCD of 375, 946, 531, 637
• GCD of 995, 163, 923, 583
• GCD of 421, 984, 603, 574
• GCD of 756, 486, 572, 919

1. What is the GCD of 316, 158, 872, 890?

GCD of 316, 158, 872, 890 is 2

2. Where do I get the detailed procedure to find GCD of 316, 158, 872, 890?

You can find a detailed procedure to find GCD of 316, 158, 872, 890 on our page.

3. How to find GCD of 316, 158, 872, 890 on a calculator?

You can find the GCD of 316, 158, 872, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.