Where do I get the detailed procedure to find GCD of 250, 870, 138?

You can find a detailed procedure to find GCD of 250, 870, 138 on our page.

How to find GCD of 250, 870, 138 on a calculator?

You can find the GCD of 250, 870, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 250, 870, 138 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 250, 870, 138 quickly. Get the easiest ways to solve the greatest common divisor of 250, 870, 138 i.e 2 in different methods as follows.

How to Find GCD of Numbers 250, 870, 138 with Factoring?

Given Input numbers are 250, 870, 138

In the factoring method, we have to find the divisors of all numbers

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (250, 870, 138) = 2.

Find GCD of 250, 870, 138 using Prime Factorization

Given numbers are 250, 870, 138

The list of prime factors of all numbers are

Prime factors of 250 are 2 x 5 x 5 x 5

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 250, 870, 138 is 2.

Steps to Calculate GCD of 250, 870, 138 using LCM Formula

Given numbers are 250, 870, 138

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(250, 870) = 21750

GCD(250, 870) = ( 250 x 870 ) / 21750

= 250 / 870

= 250

Step2:

LCM(10, 138) = 690

GCD(10, 138) = ( 10 x 138 ) / 690

= 10 / 138

= 10

So, Greatest Common Divisor of 250, 870, 138 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 250, 870, 138

Given numbers are 250, 870, 138
The greatest common divisor of numbers 250, 870, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 870, 138 is 2.

FAQs on GCD of 250, 870, 138 Calculator

1. What is the GCD of 250, 870, 138?

GCD of given numbers 250, 870, 138 is 2

2. How to calculate the greatest common divisor of 250, 870, 138?

We can find the highest common divisor of 250, 870, 138 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 250, 870, 138 i.e 2.

3. How can I use the GCD of 250, 870, 138Calculator?

Out the numbers 250, 870, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.