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GCD of 720, 592, 471, 914 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, 592, 471, 914 quickly. Get the easiest ways to solve the greatest common divisor of 720, 592, 471, 914 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 592, 471, 914 with Factoring?

Given Input numbers are 720, 592, 471, 914

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 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914


GCD of numbers is the greatest common divisor

So, the GCD (720, 592, 471, 914) = 1.

Find GCD of 720, 592, 471, 914 using Prime Factorization

Given numbers are 720, 592, 471, 914

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 592 are 2 x 2 x 2 x 2 x 37

Prime factors of 471 are 3 x 157

Prime factors of 914 are 2 x 457

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

Steps to Calculate GCD of 720, 592, 471, 914 using LCM Formula

Given numbers are 720, 592, 471, 914

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

Apply this formula for all numbers.

Step1:

LCM(720, 592) = 26640

GCD(720, 592) = ( 720 x 592 ) / 26640

= 720 / 592

= 720


Step2:

LCM(16, 471) = 7536

GCD(16, 471) = ( 16 x 471 ) / 7536

= 16 / 471

= 16


Step3:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1


So, Greatest Common Divisor of 720, 592, 471, 914 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 592, 471, 914

Given numbers are 720, 592, 471, 914
The greatest common divisor of numbers 720, 592, 471, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 592, 471, 914 is 1.

FAQs on GCD of 720, 592, 471, 914 Calculator

1. What is the GCD of 720, 592, 471, 914?

GCD of given numbers 720, 592, 471, 914 is 1


2. How to calculate the greatest common divisor of 720, 592, 471, 914?

We can find the highest common divisor of 720, 592, 471, 914 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, 592, 471, 914 i.e 1.


3. How can I use the GCD of 720, 592, 471, 914Calculator?

Out the numbers 720, 592, 471, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.