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GCD of 345, 477, 563, 891 Calculator

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


Online GCD Calculator is useful to find the GCD of 345, 477, 563, 891 quickly. Get the easiest ways to solve the greatest common divisor of 345, 477, 563, 891 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 345, 477, 563, 891 with Factoring?

Given Input numbers are 345, 477, 563, 891

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891


GCD of numbers is the greatest common divisor

So, the GCD (345, 477, 563, 891) = 1.

Find GCD of 345, 477, 563, 891 using Prime Factorization

Given numbers are 345, 477, 563, 891

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 477 are 3 x 3 x 53

Prime factors of 563 are 563

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

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

Steps to Calculate GCD of 345, 477, 563, 891 using LCM Formula

Given numbers are 345, 477, 563, 891

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

Apply this formula for all numbers.

Step1:

LCM(345, 477) = 54855

GCD(345, 477) = ( 345 x 477 ) / 54855

= 345 / 477

= 345


Step2:

LCM(3, 563) = 1689

GCD(3, 563) = ( 3 x 563 ) / 1689

= 3 / 563

= 3


Step3:

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

= 1 / 891

= 1


So, Greatest Common Divisor of 345, 477, 563, 891 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 345, 477, 563, 891

Given numbers are 345, 477, 563, 891
The greatest common divisor of numbers 345, 477, 563, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 477, 563, 891 is 1.

FAQs on GCD of 345, 477, 563, 891 Calculator

1. What is the GCD of 345, 477, 563, 891?

GCD of given numbers 345, 477, 563, 891 is 1


2. How to calculate the greatest common divisor of 345, 477, 563, 891?

We can find the highest common divisor of 345, 477, 563, 891 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 345, 477, 563, 891 i.e 1.


3. How can I use the GCD of 345, 477, 563, 891Calculator?

Out the numbers 345, 477, 563, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.