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GCD of 645, 966, 705 Calculator

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


Online GCD Calculator is useful to find the GCD of 645, 966, 705 quickly. Get the easiest ways to solve the greatest common divisor of 645, 966, 705 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 645, 966, 705 with Factoring?

Given Input numbers are 645, 966, 705

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705


GCD of numbers is the greatest common divisor

So, the GCD (645, 966, 705) = 3.

Find GCD of 645, 966, 705 using Prime Factorization

Given numbers are 645, 966, 705

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 31

Therefore, GCD of 645, 966, 705 is 3.

Steps to Calculate GCD of 645, 966, 705 using LCM Formula

Given numbers are 645, 966, 705

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

Apply this formula for all numbers.

Step1:

LCM(645, 966) = 207690

GCD(645, 966) = ( 645 x 966 ) / 207690

= 645 / 966

= 645


Step2:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3


So, Greatest Common Divisor of 645, 966, 705 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 645, 966, 705

Given numbers are 645, 966, 705
The greatest common divisor of numbers 645, 966, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 966, 705 is 3.

FAQs on GCD of 645, 966, 705 Calculator

1. What is the GCD of 645, 966, 705?

GCD of given numbers 645, 966, 705 is 3


2. How to calculate the greatest common divisor of 645, 966, 705?

We can find the highest common divisor of 645, 966, 705 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 645, 966, 705 i.e 3.


3. How can I use the GCD of 645, 966, 705Calculator?

Out the numbers 645, 966, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.