GCD of 850, 800, 320, 155 Calculator

Given Input numbers are 850, 800, 320, 155

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Greatest Common Divisior

We found the divisors of 850, 800, 320, 155 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 800, 320, 155 is 5.

Therefore, GCD of numbers 850, 800, 320, 155 is 5

Given Input Data is 850, 800, 320, 155

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 155 is 5 x 31

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(850, 800) = 13600

GCD(850, 800) = ( 850 x 800 ) / 13600

GCD(850, 800) = 680000 / 13600

GCD(850, 800) = 50

Step2:

Here we consider the GCD from the above i.e. 50 as first number and the next as 320

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

LCM(50, 320) = 1600

GCD(50, 320) = ( 50 x 320 ) / 1600

GCD(50, 320) = 16000 / 1600

GCD(50, 320) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 155

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

LCM(10, 155) = 310

GCD(10, 155) = ( 10 x 155 ) / 310

GCD(10, 155) = 1550 / 310

GCD(10, 155) = 5

GCD of 850, 800, 320, 155 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 928, 616, 518
• GCD of 422, 230, 830, 396
• GCD of 605, 848, 933, 232
• GCD of 325, 423, 353, 265
• GCD of 975, 774, 876, 316

1. What is the GCD of 850, 800, 320, 155?

GCD of 850, 800, 320, 155 is 5

2. Where do I get the detailed procedure to find GCD of 850, 800, 320, 155?

You can find a detailed procedure to find GCD of 850, 800, 320, 155 on our page.

3. How to find GCD of 850, 800, 320, 155 on a calculator?

You can find the GCD of 850, 800, 320, 155 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.