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GCD of 306, 120, 683, 673 Calculator

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


Online GCD Calculator is useful to find the GCD of 306, 120, 683, 673 quickly. Get the easiest ways to solve the greatest common divisor of 306, 120, 683, 673 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 306, 120, 683, 673 with Factoring?

Given Input numbers are 306, 120, 683, 673

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 683 :

The positive integer divisors of 683 that completely divides 683 are.

1, 683

Divisors of 673 :

The positive integer divisors of 673 that completely divides 673 are.

1, 673


GCD of numbers is the greatest common divisor

So, the GCD (306, 120, 683, 673) = 1.

Find GCD of 306, 120, 683, 673 using Prime Factorization

Given numbers are 306, 120, 683, 673

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 683 are 683

Prime factors of 673 are 673

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

Steps to Calculate GCD of 306, 120, 683, 673 using LCM Formula

Given numbers are 306, 120, 683, 673

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

Apply this formula for all numbers.

Step1:

LCM(306, 120) = 6120

GCD(306, 120) = ( 306 x 120 ) / 6120

= 306 / 120

= 306


Step2:

LCM(6, 683) = 4098

GCD(6, 683) = ( 6 x 683 ) / 4098

= 6 / 683

= 6


Step3:

LCM(1, 673) = 673

GCD(1, 673) = ( 1 x 673 ) / 673

= 1 / 673

= 1


So, Greatest Common Divisor of 306, 120, 683, 673 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 306, 120, 683, 673

Given numbers are 306, 120, 683, 673
The greatest common divisor of numbers 306, 120, 683, 673 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 120, 683, 673 is 1.

FAQs on GCD of 306, 120, 683, 673 Calculator

1. What is the GCD of 306, 120, 683, 673?

GCD of given numbers 306, 120, 683, 673 is 1


2. How to calculate the greatest common divisor of 306, 120, 683, 673?

We can find the highest common divisor of 306, 120, 683, 673 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 306, 120, 683, 673 i.e 1.


3. How can I use the GCD of 306, 120, 683, 673Calculator?

Out the numbers 306, 120, 683, 673 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.