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GCD of 438, 123, 92, 262 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, 123, 92, 262 quickly. Get the easiest ways to solve the greatest common divisor of 438, 123, 92, 262 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 438, 123, 92, 262 with Factoring?

Given Input numbers are 438, 123, 92, 262

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 92 :

The positive integer divisors of 92 that completely divides 92 are.

1, 2, 4, 23, 46, 92

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262


GCD of numbers is the greatest common divisor

So, the GCD (438, 123, 92, 262) = 1.

Find GCD of 438, 123, 92, 262 using Prime Factorization

Given numbers are 438, 123, 92, 262

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 123 are 3 x 41

Prime factors of 92 are 2 x 2 x 23

Prime factors of 262 are 2 x 131

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

Steps to Calculate GCD of 438, 123, 92, 262 using LCM Formula

Given numbers are 438, 123, 92, 262

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

Apply this formula for all numbers.

Step1:

LCM(438, 123) = 17958

GCD(438, 123) = ( 438 x 123 ) / 17958

= 438 / 123

= 438


Step2:

LCM(3, 92) = 276

GCD(3, 92) = ( 3 x 92 ) / 276

= 3 / 92

= 3


Step3:

LCM(1, 262) = 262

GCD(1, 262) = ( 1 x 262 ) / 262

= 1 / 262

= 1


So, Greatest Common Divisor of 438, 123, 92, 262 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 438, 123, 92, 262

Given numbers are 438, 123, 92, 262
The greatest common divisor of numbers 438, 123, 92, 262 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 123, 92, 262 is 1.

FAQs on GCD of 438, 123, 92, 262 Calculator

1. What is the GCD of 438, 123, 92, 262?

GCD of given numbers 438, 123, 92, 262 is 1


2. How to calculate the greatest common divisor of 438, 123, 92, 262?

We can find the highest common divisor of 438, 123, 92, 262 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, 123, 92, 262 i.e 1.


3. How can I use the GCD of 438, 123, 92, 262Calculator?

Out the numbers 438, 123, 92, 262 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.