GCD of 508, 878, 89, 850 Calculator

Given Input numbers are 508, 878, 89, 850

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

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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

Greatest Common Divisior

We found the divisors of 508, 878, 89, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 878, 89, 850 is 1.

Therefore, GCD of numbers 508, 878, 89, 850 is 1

Given Input Data is 508, 878, 89, 850

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 878 is 2 x 439

Prime Factorization of 89 is 89

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

The above numbers do not have any common prime factor. So GCD is 1

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(508, 878) = 223012

GCD(508, 878) = ( 508 x 878 ) / 223012

GCD(508, 878) = 446024 / 223012

GCD(508, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 508, 878, 89, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 886, 45, 202
• GCD of 643, 126, 36, 243
• GCD of 490, 672, 31, 359
• GCD of 796, 964, 40, 569
• GCD of 160, 559, 73, 771

1. What is the GCD of 508, 878, 89, 850?

GCD of 508, 878, 89, 850 is 1

2. Where do I get the detailed procedure to find GCD of 508, 878, 89, 850?

You can find a detailed procedure to find GCD of 508, 878, 89, 850 on our page.

3. How to find GCD of 508, 878, 89, 850 on a calculator?

You can find the GCD of 508, 878, 89, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.