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GCD of 309, 963, 385, 694 Calculator

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


Online GCD Calculator is useful to find the GCD of 309, 963, 385, 694 quickly. Get the easiest ways to solve the greatest common divisor of 309, 963, 385, 694 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 309, 963, 385, 694 with Factoring?

Given Input numbers are 309, 963, 385, 694

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694


GCD of numbers is the greatest common divisor

So, the GCD (309, 963, 385, 694) = 1.

Find GCD of 309, 963, 385, 694 using Prime Factorization

Given numbers are 309, 963, 385, 694

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 963 are 3 x 3 x 107

Prime factors of 385 are 5 x 7 x 11

Prime factors of 694 are 2 x 347

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

Steps to Calculate GCD of 309, 963, 385, 694 using LCM Formula

Given numbers are 309, 963, 385, 694

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

Apply this formula for all numbers.

Step1:

LCM(309, 963) = 99189

GCD(309, 963) = ( 309 x 963 ) / 99189

= 309 / 963

= 309


Step2:

LCM(3, 385) = 1155

GCD(3, 385) = ( 3 x 385 ) / 1155

= 3 / 385

= 3


Step3:

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

= 1 / 694

= 1


So, Greatest Common Divisor of 309, 963, 385, 694 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 309, 963, 385, 694

Given numbers are 309, 963, 385, 694
The greatest common divisor of numbers 309, 963, 385, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 963, 385, 694 is 1.

FAQs on GCD of 309, 963, 385, 694 Calculator

1. What is the GCD of 309, 963, 385, 694?

GCD of given numbers 309, 963, 385, 694 is 1


2. How to calculate the greatest common divisor of 309, 963, 385, 694?

We can find the highest common divisor of 309, 963, 385, 694 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 309, 963, 385, 694 i.e 1.


3. How can I use the GCD of 309, 963, 385, 694Calculator?

Out the numbers 309, 963, 385, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.