Where do I get the detailed procedure to find GCD of 250, 254, 490?

You can find a detailed procedure to find GCD of 250, 254, 490 on our page.

How to find GCD of 250, 254, 490 on a calculator?

You can find the GCD of 250, 254, 490 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, 254, 490 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, 254, 490 quickly. Get the easiest ways to solve the greatest common divisor of 250, 254, 490 i.e 2 in different methods as follows.

How to Find GCD of Numbers 250, 254, 490 with Factoring?

Given Input numbers are 250, 254, 490

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 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (250, 254, 490) = 2.

Find GCD of 250, 254, 490 using Prime Factorization

Given numbers are 250, 254, 490

The list of prime factors of all numbers are

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

Prime factors of 254 are 2 x 127

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 250, 254, 490 is 2.

Steps to Calculate GCD of 250, 254, 490 using LCM Formula

Given numbers are 250, 254, 490

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

Apply this formula for all numbers.

Step1:

LCM(250, 254) = 31750

GCD(250, 254) = ( 250 x 254 ) / 31750

= 250 / 254

= 250

Step2:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

So, Greatest Common Divisor of 250, 254, 490 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 250, 254, 490

Given numbers are 250, 254, 490
The greatest common divisor of numbers 250, 254, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 254, 490 is 2.

FAQs on GCD of 250, 254, 490 Calculator

1. What is the GCD of 250, 254, 490?

GCD of given numbers 250, 254, 490 is 2

2. How to calculate the greatest common divisor of 250, 254, 490?

We can find the highest common divisor of 250, 254, 490 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, 254, 490 i.e 2.

3. How can I use the GCD of 250, 254, 490Calculator?

Out the numbers 250, 254, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.