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GCD of 492, 822, 722, 487 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, 822, 722, 487 quickly. Get the easiest ways to solve the greatest common divisor of 492, 822, 722, 487 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 822, 722, 487 with Factoring?

Given Input numbers are 492, 822, 722, 487

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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487


GCD of numbers is the greatest common divisor

So, the GCD (492, 822, 722, 487) = 1.

Find GCD of 492, 822, 722, 487 using Prime Factorization

Given numbers are 492, 822, 722, 487

The list of prime factors of all numbers are

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

Prime factors of 822 are 2 x 3 x 137

Prime factors of 722 are 2 x 19 x 19

Prime factors of 487 are 487

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

Steps to Calculate GCD of 492, 822, 722, 487 using LCM Formula

Given numbers are 492, 822, 722, 487

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

Apply this formula for all numbers.

Step1:

LCM(492, 822) = 67404

GCD(492, 822) = ( 492 x 822 ) / 67404

= 492 / 822

= 492


Step2:

LCM(6, 722) = 2166

GCD(6, 722) = ( 6 x 722 ) / 2166

= 6 / 722

= 6


Step3:

LCM(2, 487) = 974

GCD(2, 487) = ( 2 x 487 ) / 974

= 2 / 487

= 2


So, Greatest Common Divisor of 492, 822, 722, 487 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 822, 722, 487

Given numbers are 492, 822, 722, 487
The greatest common divisor of numbers 492, 822, 722, 487 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 822, 722, 487 is 1.

FAQs on GCD of 492, 822, 722, 487 Calculator

1. What is the GCD of 492, 822, 722, 487?

GCD of given numbers 492, 822, 722, 487 is 1


2. How to calculate the greatest common divisor of 492, 822, 722, 487?

We can find the highest common divisor of 492, 822, 722, 487 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, 822, 722, 487 i.e 1.


3. How can I use the GCD of 492, 822, 722, 487Calculator?

Out the numbers 492, 822, 722, 487 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.