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GCD of 966, 318, 609, 709 Calculator

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


Online GCD Calculator is useful to find the GCD of 966, 318, 609, 709 quickly. Get the easiest ways to solve the greatest common divisor of 966, 318, 609, 709 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 318, 609, 709 with Factoring?

Given Input numbers are 966, 318, 609, 709

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

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 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709


GCD of numbers is the greatest common divisor

So, the GCD (966, 318, 609, 709) = 1.

Find GCD of 966, 318, 609, 709 using Prime Factorization

Given numbers are 966, 318, 609, 709

The list of prime factors of all numbers are

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

Prime factors of 318 are 2 x 3 x 53

Prime factors of 609 are 3 x 7 x 29

Prime factors of 709 are 709

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

Steps to Calculate GCD of 966, 318, 609, 709 using LCM Formula

Given numbers are 966, 318, 609, 709

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

Apply this formula for all numbers.

Step1:

LCM(966, 318) = 51198

GCD(966, 318) = ( 966 x 318 ) / 51198

= 966 / 318

= 966


Step2:

LCM(6, 609) = 1218

GCD(6, 609) = ( 6 x 609 ) / 1218

= 6 / 609

= 6


Step3:

LCM(3, 709) = 2127

GCD(3, 709) = ( 3 x 709 ) / 2127

= 3 / 709

= 3


So, Greatest Common Divisor of 966, 318, 609, 709 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 318, 609, 709

Given numbers are 966, 318, 609, 709
The greatest common divisor of numbers 966, 318, 609, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 318, 609, 709 is 1.

FAQs on GCD of 966, 318, 609, 709 Calculator

1. What is the GCD of 966, 318, 609, 709?

GCD of given numbers 966, 318, 609, 709 is 1


2. How to calculate the greatest common divisor of 966, 318, 609, 709?

We can find the highest common divisor of 966, 318, 609, 709 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 966, 318, 609, 709 i.e 1.


3. How can I use the GCD of 966, 318, 609, 709Calculator?

Out the numbers 966, 318, 609, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.