GCD of 500, 958, 790, 160 Calculator

Given Input numbers are 500, 958, 790, 160

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

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 500, 958, 790, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 958, 790, 160 is 2.

Therefore, GCD of numbers 500, 958, 790, 160 is 2

Given Input Data is 500, 958, 790, 160

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

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 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(500, 958) = 239500

GCD(500, 958) = ( 500 x 958 ) / 239500

GCD(500, 958) = 479000 / 239500

GCD(500, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 790

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

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

GCD(2, 790) = 1580 / 790

GCD(2, 790) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 160

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

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

GCD(2, 160) = 320 / 160

GCD(2, 160) = 2

GCD of 500, 958, 790, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 445, 756, 472
• GCD of 504, 251, 326, 487
• GCD of 191, 154, 661, 689
• GCD of 663, 838, 678, 401
• GCD of 823, 641, 296, 102

1. What is the GCD of 500, 958, 790, 160?

GCD of 500, 958, 790, 160 is 2

2. Where do I get the detailed procedure to find GCD of 500, 958, 790, 160?

You can find a detailed procedure to find GCD of 500, 958, 790, 160 on our page.

3. How to find GCD of 500, 958, 790, 160 on a calculator?

You can find the GCD of 500, 958, 790, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.