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GCD of 220, 414, 221, 438 Calculator

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


Online GCD Calculator is useful to find the GCD of 220, 414, 221, 438 quickly. Get the easiest ways to solve the greatest common divisor of 220, 414, 221, 438 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 220, 414, 221, 438 with Factoring?

Given Input numbers are 220, 414, 221, 438

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

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438


GCD of numbers is the greatest common divisor

So, the GCD (220, 414, 221, 438) = 1.

Find GCD of 220, 414, 221, 438 using Prime Factorization

Given numbers are 220, 414, 221, 438

The list of prime factors of all numbers are

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 221 are 13 x 17

Prime factors of 438 are 2 x 3 x 73

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

Steps to Calculate GCD of 220, 414, 221, 438 using LCM Formula

Given numbers are 220, 414, 221, 438

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

Apply this formula for all numbers.

Step1:

LCM(220, 414) = 45540

GCD(220, 414) = ( 220 x 414 ) / 45540

= 220 / 414

= 220


Step2:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2


Step3:

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

= 1 / 438

= 1


So, Greatest Common Divisor of 220, 414, 221, 438 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 220, 414, 221, 438

Given numbers are 220, 414, 221, 438
The greatest common divisor of numbers 220, 414, 221, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 220, 414, 221, 438 is 1.

FAQs on GCD of 220, 414, 221, 438 Calculator

1. What is the GCD of 220, 414, 221, 438?

GCD of given numbers 220, 414, 221, 438 is 1


2. How to calculate the greatest common divisor of 220, 414, 221, 438?

We can find the highest common divisor of 220, 414, 221, 438 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 220, 414, 221, 438 i.e 1.


3. How can I use the GCD of 220, 414, 221, 438Calculator?

Out the numbers 220, 414, 221, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.