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GCD of 720, 103, 355, 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 720, 103, 355, 510 quickly. Get the easiest ways to solve the greatest common divisor of 720, 103, 355, 510 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 103, 355, 510 with Factoring?

Given Input numbers are 720, 103, 355, 510

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

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 (720, 103, 355, 510) = 1.

Find GCD of 720, 103, 355, 510 using Prime Factorization

Given numbers are 720, 103, 355, 510

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 103 are 103

Prime factors of 355 are 5 x 71

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 720, 103, 355, 510 using LCM Formula

Given numbers are 720, 103, 355, 510

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

Apply this formula for all numbers.

Step1:

LCM(720, 103) = 74160

GCD(720, 103) = ( 720 x 103 ) / 74160

= 720 / 103

= 720


Step2:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1


Step3:

LCM(1, 510) = 510

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

= 1 / 510

= 1


So, Greatest Common Divisor of 720, 103, 355, 510 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 103, 355, 510

Given numbers are 720, 103, 355, 510
The greatest common divisor of numbers 720, 103, 355, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 103, 355, 510 is 1.

FAQs on GCD of 720, 103, 355, 510 Calculator

1. What is the GCD of 720, 103, 355, 510?

GCD of given numbers 720, 103, 355, 510 is 1


2. How to calculate the greatest common divisor of 720, 103, 355, 510?

We can find the highest common divisor of 720, 103, 355, 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 720, 103, 355, 510 i.e 1.


3. How can I use the GCD of 720, 103, 355, 510Calculator?

Out the numbers 720, 103, 355, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.