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GCD of 458, 262, 467, 720 Calculator

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


Online GCD Calculator is useful to find the GCD of 458, 262, 467, 720 quickly. Get the easiest ways to solve the greatest common divisor of 458, 262, 467, 720 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 458, 262, 467, 720 with Factoring?

Given Input numbers are 458, 262, 467, 720

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

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467

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


GCD of numbers is the greatest common divisor

So, the GCD (458, 262, 467, 720) = 1.

Find GCD of 458, 262, 467, 720 using Prime Factorization

Given numbers are 458, 262, 467, 720

The list of prime factors of all numbers are

Prime factors of 458 are 2 x 229

Prime factors of 262 are 2 x 131

Prime factors of 467 are 467

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

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

Steps to Calculate GCD of 458, 262, 467, 720 using LCM Formula

Given numbers are 458, 262, 467, 720

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

Apply this formula for all numbers.

Step1:

LCM(458, 262) = 59998

GCD(458, 262) = ( 458 x 262 ) / 59998

= 458 / 262

= 458


Step2:

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

= 2 / 467

= 2


Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1


So, Greatest Common Divisor of 458, 262, 467, 720 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 458, 262, 467, 720

Given numbers are 458, 262, 467, 720
The greatest common divisor of numbers 458, 262, 467, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 458, 262, 467, 720 is 1.

FAQs on GCD of 458, 262, 467, 720 Calculator

1. What is the GCD of 458, 262, 467, 720?

GCD of given numbers 458, 262, 467, 720 is 1


2. How to calculate the greatest common divisor of 458, 262, 467, 720?

We can find the highest common divisor of 458, 262, 467, 720 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 458, 262, 467, 720 i.e 1.


3. How can I use the GCD of 458, 262, 467, 720Calculator?

Out the numbers 458, 262, 467, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.