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GCD of 345, 663, 272, 745 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, 663, 272, 745 quickly. Get the easiest ways to solve the greatest common divisor of 345, 663, 272, 745 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 345, 663, 272, 745 with Factoring?

Given Input numbers are 345, 663, 272, 745

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 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745


GCD of numbers is the greatest common divisor

So, the GCD (345, 663, 272, 745) = 1.

Find GCD of 345, 663, 272, 745 using Prime Factorization

Given numbers are 345, 663, 272, 745

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 663 are 3 x 13 x 17

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 745 are 5 x 149

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

Steps to Calculate GCD of 345, 663, 272, 745 using LCM Formula

Given numbers are 345, 663, 272, 745

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

Apply this formula for all numbers.

Step1:

LCM(345, 663) = 76245

GCD(345, 663) = ( 345 x 663 ) / 76245

= 345 / 663

= 345


Step2:

LCM(3, 272) = 816

GCD(3, 272) = ( 3 x 272 ) / 816

= 3 / 272

= 3


Step3:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1


So, Greatest Common Divisor of 345, 663, 272, 745 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 345, 663, 272, 745

Given numbers are 345, 663, 272, 745
The greatest common divisor of numbers 345, 663, 272, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 663, 272, 745 is 1.

FAQs on GCD of 345, 663, 272, 745 Calculator

1. What is the GCD of 345, 663, 272, 745?

GCD of given numbers 345, 663, 272, 745 is 1


2. How to calculate the greatest common divisor of 345, 663, 272, 745?

We can find the highest common divisor of 345, 663, 272, 745 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, 663, 272, 745 i.e 1.


3. How can I use the GCD of 345, 663, 272, 745Calculator?

Out the numbers 345, 663, 272, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.