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GCD of 720, 633, 314, 513 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, 633, 314, 513 quickly. Get the easiest ways to solve the greatest common divisor of 720, 633, 314, 513 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 633, 314, 513 with Factoring?

Given Input numbers are 720, 633, 314, 513

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 633 :

The positive integer divisors of 633 that completely divides 633 are.

1, 3, 211, 633

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513


GCD of numbers is the greatest common divisor

So, the GCD (720, 633, 314, 513) = 1.

Find GCD of 720, 633, 314, 513 using Prime Factorization

Given numbers are 720, 633, 314, 513

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 633 are 3 x 211

Prime factors of 314 are 2 x 157

Prime factors of 513 are 3 x 3 x 3 x 19

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

Steps to Calculate GCD of 720, 633, 314, 513 using LCM Formula

Given numbers are 720, 633, 314, 513

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

Apply this formula for all numbers.

Step1:

LCM(720, 633) = 151920

GCD(720, 633) = ( 720 x 633 ) / 151920

= 720 / 633

= 720


Step2:

LCM(3, 314) = 942

GCD(3, 314) = ( 3 x 314 ) / 942

= 3 / 314

= 3


Step3:

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

= 1 / 513

= 1


So, Greatest Common Divisor of 720, 633, 314, 513 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 633, 314, 513

Given numbers are 720, 633, 314, 513
The greatest common divisor of numbers 720, 633, 314, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 633, 314, 513 is 1.

FAQs on GCD of 720, 633, 314, 513 Calculator

1. What is the GCD of 720, 633, 314, 513?

GCD of given numbers 720, 633, 314, 513 is 1


2. How to calculate the greatest common divisor of 720, 633, 314, 513?

We can find the highest common divisor of 720, 633, 314, 513 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, 633, 314, 513 i.e 1.


3. How can I use the GCD of 720, 633, 314, 513Calculator?

Out the numbers 720, 633, 314, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.