GCD of 705, 966, 746 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 705, 966, 746 i.e. 1 largest integer that divides all the numbers equally.

GCD of 705, 966, 746 is 1

GCD(705, 966, 746) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 705, 966, 746 is 1

GCD(705, 966, 746) = 1

GCD of 705,966,746 Calculator

GCDof 705,966,746 is 1

Given Input numbers are 705, 966, 746

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 705, 966, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 966, 746 is 1.

Therefore, GCD of numbers 705, 966, 746 is 1

Finding GCD of 705, 966, 746 using Prime Factorization

Given Input Data is 705, 966, 746

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 746 is 2 x 373

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

Finding GCD of 705, 966, 746 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(705, 966) = 227010

GCD(705, 966) = ( 705 x 966 ) / 227010

GCD(705, 966) = 681030 / 227010

GCD(705, 966) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 746

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

LCM(3, 746) = 2238

GCD(3, 746) = ( 3 x 746 ) / 2238

GCD(3, 746) = 2238 / 2238

GCD(3, 746) = 1

GCD of 705, 966, 746 is 1

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FAQs on GCD of numbers 705, 966, 746

1. What is the GCD of 705, 966, 746?

GCD of 705, 966, 746 is 1

2. Where do I get the detailed procedure to find GCD of 705, 966, 746?

You can find a detailed procedure to find GCD of 705, 966, 746 on our page.

3. How to find GCD of 705, 966, 746 on a calculator?

You can find the GCD of 705, 966, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.