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GCD of 250, 212, 361, 271 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, 212, 361, 271 quickly. Get the easiest ways to solve the greatest common divisor of 250, 212, 361, 271 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 250, 212, 361, 271 with Factoring?

Given Input numbers are 250, 212, 361, 271

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 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271


GCD of numbers is the greatest common divisor

So, the GCD (250, 212, 361, 271) = 1.

Find GCD of 250, 212, 361, 271 using Prime Factorization

Given numbers are 250, 212, 361, 271

The list of prime factors of all numbers are

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

Prime factors of 212 are 2 x 2 x 53

Prime factors of 361 are 19 x 19

Prime factors of 271 are 271

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

Steps to Calculate GCD of 250, 212, 361, 271 using LCM Formula

Given numbers are 250, 212, 361, 271

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

Apply this formula for all numbers.

Step1:

LCM(250, 212) = 26500

GCD(250, 212) = ( 250 x 212 ) / 26500

= 250 / 212

= 250


Step2:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2


Step3:

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

= 1 / 271

= 1


So, Greatest Common Divisor of 250, 212, 361, 271 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 250, 212, 361, 271

Given numbers are 250, 212, 361, 271
The greatest common divisor of numbers 250, 212, 361, 271 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 250, 212, 361, 271 is 1.

FAQs on GCD of 250, 212, 361, 271 Calculator

1. What is the GCD of 250, 212, 361, 271?

GCD of given numbers 250, 212, 361, 271 is 1


2. How to calculate the greatest common divisor of 250, 212, 361, 271?

We can find the highest common divisor of 250, 212, 361, 271 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, 212, 361, 271 i.e 1.


3. How can I use the GCD of 250, 212, 361, 271Calculator?

Out the numbers 250, 212, 361, 271 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.