GCD of 802, 250, 31, 175 Calculator

Given Input numbers are 802, 250, 31, 175

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 802, 250, 31, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 250, 31, 175 is 1.

Therefore, GCD of numbers 802, 250, 31, 175 is 1

Given Input Data is 802, 250, 31, 175

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 31 is 31

Prime Factorization of 175 is 5 x 5 x 7

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(802, 250) = 100250

GCD(802, 250) = ( 802 x 250 ) / 100250

GCD(802, 250) = 200500 / 100250

GCD(802, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 802, 250, 31, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 957, 30, 963
• GCD of 141, 831, 67, 641
• GCD of 351, 603, 24, 853
• GCD of 911, 110, 90, 791
• GCD of 389, 685, 23, 748

1. What is the GCD of 802, 250, 31, 175?

GCD of 802, 250, 31, 175 is 1

2. Where do I get the detailed procedure to find GCD of 802, 250, 31, 175?

You can find a detailed procedure to find GCD of 802, 250, 31, 175 on our page.

3. How to find GCD of 802, 250, 31, 175 on a calculator?

You can find the GCD of 802, 250, 31, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.