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GCD of 304, 695, 120, 510 Calculator

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


Online GCD Calculator is useful to find the GCD of 304, 695, 120, 510 quickly. Get the easiest ways to solve the greatest common divisor of 304, 695, 120, 510 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 304, 695, 120, 510 with Factoring?

Given Input numbers are 304, 695, 120, 510

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

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 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510


GCD of numbers is the greatest common divisor

So, the GCD (304, 695, 120, 510) = 1.

Find GCD of 304, 695, 120, 510 using Prime Factorization

Given numbers are 304, 695, 120, 510

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 695 are 5 x 139

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

Prime factors of 510 are 2 x 3 x 5 x 17

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

Steps to Calculate GCD of 304, 695, 120, 510 using LCM Formula

Given numbers are 304, 695, 120, 510

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

Apply this formula for all numbers.

Step1:

LCM(304, 695) = 211280

GCD(304, 695) = ( 304 x 695 ) / 211280

= 304 / 695

= 304


Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


Step3:

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

= 1 / 510

= 1


So, Greatest Common Divisor of 304, 695, 120, 510 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 304, 695, 120, 510

Given numbers are 304, 695, 120, 510
The greatest common divisor of numbers 304, 695, 120, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 695, 120, 510 is 1.

FAQs on GCD of 304, 695, 120, 510 Calculator

1. What is the GCD of 304, 695, 120, 510?

GCD of given numbers 304, 695, 120, 510 is 1


2. How to calculate the greatest common divisor of 304, 695, 120, 510?

We can find the highest common divisor of 304, 695, 120, 510 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 304, 695, 120, 510 i.e 1.


3. How can I use the GCD of 304, 695, 120, 510Calculator?

Out the numbers 304, 695, 120, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.