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GCD of 456, 489, 188, 775 Calculator

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


Online GCD Calculator is useful to find the GCD of 456, 489, 188, 775 quickly. Get the easiest ways to solve the greatest common divisor of 456, 489, 188, 775 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 456, 489, 188, 775 with Factoring?

Given Input numbers are 456, 489, 188, 775

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775


GCD of numbers is the greatest common divisor

So, the GCD (456, 489, 188, 775) = 1.

Find GCD of 456, 489, 188, 775 using Prime Factorization

Given numbers are 456, 489, 188, 775

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 489 are 3 x 163

Prime factors of 188 are 2 x 2 x 47

Prime factors of 775 are 5 x 5 x 31

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

Steps to Calculate GCD of 456, 489, 188, 775 using LCM Formula

Given numbers are 456, 489, 188, 775

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

Apply this formula for all numbers.

Step1:

LCM(456, 489) = 74328

GCD(456, 489) = ( 456 x 489 ) / 74328

= 456 / 489

= 456


Step2:

LCM(3, 188) = 564

GCD(3, 188) = ( 3 x 188 ) / 564

= 3 / 188

= 3


Step3:

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

= 1 / 775

= 1


So, Greatest Common Divisor of 456, 489, 188, 775 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 456, 489, 188, 775

Given numbers are 456, 489, 188, 775
The greatest common divisor of numbers 456, 489, 188, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 489, 188, 775 is 1.

FAQs on GCD of 456, 489, 188, 775 Calculator

1. What is the GCD of 456, 489, 188, 775?

GCD of given numbers 456, 489, 188, 775 is 1


2. How to calculate the greatest common divisor of 456, 489, 188, 775?

We can find the highest common divisor of 456, 489, 188, 775 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 456, 489, 188, 775 i.e 1.


3. How can I use the GCD of 456, 489, 188, 775Calculator?

Out the numbers 456, 489, 188, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.