GCD of 250, 862, 22, 118 Calculator

Given Input numbers are 250, 862, 22, 118

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

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 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 250, 862, 22, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 862, 22, 118 is 2.

Therefore, GCD of numbers 250, 862, 22, 118 is 2

Given Input Data is 250, 862, 22, 118

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

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

Prime Factorization of 862 is 2 x 431

Prime Factorization of 22 is 2 x 11

Prime Factorization of 118 is 2 x 59

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(250, 862) = 107750

GCD(250, 862) = ( 250 x 862 ) / 107750

GCD(250, 862) = 215500 / 107750

GCD(250, 862) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 118

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

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

GCD(2, 118) = 236 / 118

GCD(2, 118) = 2

GCD of 250, 862, 22, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 911, 23, 798
• GCD of 234, 889, 82, 905
• GCD of 880, 302, 78, 678
• GCD of 729, 887, 58, 640
• GCD of 308, 345, 98, 563

1. What is the GCD of 250, 862, 22, 118?

GCD of 250, 862, 22, 118 is 2

2. Where do I get the detailed procedure to find GCD of 250, 862, 22, 118?

You can find a detailed procedure to find GCD of 250, 862, 22, 118 on our page.

3. How to find GCD of 250, 862, 22, 118 on a calculator?

You can find the GCD of 250, 862, 22, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.