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GCD of 492, 707, 320, 459 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 707, 320, 459 quickly. Get the easiest ways to solve the greatest common divisor of 492, 707, 320, 459 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 707, 320, 459 with Factoring?

Given Input numbers are 492, 707, 320, 459

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459


GCD of numbers is the greatest common divisor

So, the GCD (492, 707, 320, 459) = 1.

Find GCD of 492, 707, 320, 459 using Prime Factorization

Given numbers are 492, 707, 320, 459

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 707 are 7 x 101

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 459 are 3 x 3 x 3 x 17

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

Steps to Calculate GCD of 492, 707, 320, 459 using LCM Formula

Given numbers are 492, 707, 320, 459

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

Apply this formula for all numbers.

Step1:

LCM(492, 707) = 347844

GCD(492, 707) = ( 492 x 707 ) / 347844

= 492 / 707

= 492


Step2:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1


Step3:

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

= 1 / 459

= 1


So, Greatest Common Divisor of 492, 707, 320, 459 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 707, 320, 459

Given numbers are 492, 707, 320, 459
The greatest common divisor of numbers 492, 707, 320, 459 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 707, 320, 459 is 1.

FAQs on GCD of 492, 707, 320, 459 Calculator

1. What is the GCD of 492, 707, 320, 459?

GCD of given numbers 492, 707, 320, 459 is 1


2. How to calculate the greatest common divisor of 492, 707, 320, 459?

We can find the highest common divisor of 492, 707, 320, 459 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 492, 707, 320, 459 i.e 1.


3. How can I use the GCD of 492, 707, 320, 459Calculator?

Out the numbers 492, 707, 320, 459 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.