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GCD of 438, 489, 922, 177 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, 489, 922, 177 quickly. Get the easiest ways to solve the greatest common divisor of 438, 489, 922, 177 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 438, 489, 922, 177 with Factoring?

Given Input numbers are 438, 489, 922, 177

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 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 177 :

The positive integer divisors of 177 that completely divides 177 are.

1, 3, 59, 177


GCD of numbers is the greatest common divisor

So, the GCD (438, 489, 922, 177) = 1.

Find GCD of 438, 489, 922, 177 using Prime Factorization

Given numbers are 438, 489, 922, 177

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 489 are 3 x 163

Prime factors of 922 are 2 x 461

Prime factors of 177 are 3 x 59

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

Steps to Calculate GCD of 438, 489, 922, 177 using LCM Formula

Given numbers are 438, 489, 922, 177

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

Apply this formula for all numbers.

Step1:

LCM(438, 489) = 71394

GCD(438, 489) = ( 438 x 489 ) / 71394

= 438 / 489

= 438


Step2:

LCM(3, 922) = 2766

GCD(3, 922) = ( 3 x 922 ) / 2766

= 3 / 922

= 3


Step3:

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

= 1 / 177

= 1


So, Greatest Common Divisor of 438, 489, 922, 177 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 438, 489, 922, 177

Given numbers are 438, 489, 922, 177
The greatest common divisor of numbers 438, 489, 922, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 489, 922, 177 is 1.

FAQs on GCD of 438, 489, 922, 177 Calculator

1. What is the GCD of 438, 489, 922, 177?

GCD of given numbers 438, 489, 922, 177 is 1


2. How to calculate the greatest common divisor of 438, 489, 922, 177?

We can find the highest common divisor of 438, 489, 922, 177 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, 489, 922, 177 i.e 1.


3. How can I use the GCD of 438, 489, 922, 177Calculator?

Out the numbers 438, 489, 922, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.