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GCD of 720, 457, 918, 829 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, 457, 918, 829 quickly. Get the easiest ways to solve the greatest common divisor of 720, 457, 918, 829 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 457, 918, 829 with Factoring?

Given Input numbers are 720, 457, 918, 829

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 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829


GCD of numbers is the greatest common divisor

So, the GCD (720, 457, 918, 829) = 1.

Find GCD of 720, 457, 918, 829 using Prime Factorization

Given numbers are 720, 457, 918, 829

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 457 are 457

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 829 are 829

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

Steps to Calculate GCD of 720, 457, 918, 829 using LCM Formula

Given numbers are 720, 457, 918, 829

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

Apply this formula for all numbers.

Step1:

LCM(720, 457) = 329040

GCD(720, 457) = ( 720 x 457 ) / 329040

= 720 / 457

= 720


Step2:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1


Step3:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1


So, Greatest Common Divisor of 720, 457, 918, 829 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 457, 918, 829

Given numbers are 720, 457, 918, 829
The greatest common divisor of numbers 720, 457, 918, 829 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 457, 918, 829 is 1.

FAQs on GCD of 720, 457, 918, 829 Calculator

1. What is the GCD of 720, 457, 918, 829?

GCD of given numbers 720, 457, 918, 829 is 1


2. How to calculate the greatest common divisor of 720, 457, 918, 829?

We can find the highest common divisor of 720, 457, 918, 829 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, 457, 918, 829 i.e 1.


3. How can I use the GCD of 720, 457, 918, 829Calculator?

Out the numbers 720, 457, 918, 829 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.