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GCD of 438, 207, 416, 121 Calculator

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


Online GCD Calculator is useful to find the GCD of 438, 207, 416, 121 quickly. Get the easiest ways to solve the greatest common divisor of 438, 207, 416, 121 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 438, 207, 416, 121 with Factoring?

Given Input numbers are 438, 207, 416, 121

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

Divisors of 438 :

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

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121


GCD of numbers is the greatest common divisor

So, the GCD (438, 207, 416, 121) = 1.

Find GCD of 438, 207, 416, 121 using Prime Factorization

Given numbers are 438, 207, 416, 121

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 207 are 3 x 3 x 23

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 121 are 11 x 11

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

Steps to Calculate GCD of 438, 207, 416, 121 using LCM Formula

Given numbers are 438, 207, 416, 121

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

Apply this formula for all numbers.

Step1:

LCM(438, 207) = 30222

GCD(438, 207) = ( 438 x 207 ) / 30222

= 438 / 207

= 438


Step2:

LCM(3, 416) = 1248

GCD(3, 416) = ( 3 x 416 ) / 1248

= 3 / 416

= 3


Step3:

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

= 1 / 121

= 1


So, Greatest Common Divisor of 438, 207, 416, 121 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 438, 207, 416, 121

Given numbers are 438, 207, 416, 121
The greatest common divisor of numbers 438, 207, 416, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 207, 416, 121 is 1.

FAQs on GCD of 438, 207, 416, 121 Calculator

1. What is the GCD of 438, 207, 416, 121?

GCD of given numbers 438, 207, 416, 121 is 1


2. How to calculate the greatest common divisor of 438, 207, 416, 121?

We can find the highest common divisor of 438, 207, 416, 121 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 438, 207, 416, 121 i.e 1.


3. How can I use the GCD of 438, 207, 416, 121Calculator?

Out the numbers 438, 207, 416, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.