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GCD of 424, 498, 397, 820 Calculator

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


Online GCD Calculator is useful to find the GCD of 424, 498, 397, 820 quickly. Get the easiest ways to solve the greatest common divisor of 424, 498, 397, 820 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 424, 498, 397, 820 with Factoring?

Given Input numbers are 424, 498, 397, 820

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820


GCD of numbers is the greatest common divisor

So, the GCD (424, 498, 397, 820) = 1.

Find GCD of 424, 498, 397, 820 using Prime Factorization

Given numbers are 424, 498, 397, 820

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 498 are 2 x 3 x 83

Prime factors of 397 are 397

Prime factors of 820 are 2 x 2 x 5 x 41

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

Steps to Calculate GCD of 424, 498, 397, 820 using LCM Formula

Given numbers are 424, 498, 397, 820

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

Apply this formula for all numbers.

Step1:

LCM(424, 498) = 105576

GCD(424, 498) = ( 424 x 498 ) / 105576

= 424 / 498

= 424


Step2:

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

= 2 / 397

= 2


Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1


So, Greatest Common Divisor of 424, 498, 397, 820 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 424, 498, 397, 820

Given numbers are 424, 498, 397, 820
The greatest common divisor of numbers 424, 498, 397, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 498, 397, 820 is 1.

FAQs on GCD of 424, 498, 397, 820 Calculator

1. What is the GCD of 424, 498, 397, 820?

GCD of given numbers 424, 498, 397, 820 is 1


2. How to calculate the greatest common divisor of 424, 498, 397, 820?

We can find the highest common divisor of 424, 498, 397, 820 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 424, 498, 397, 820 i.e 1.


3. How can I use the GCD of 424, 498, 397, 820Calculator?

Out the numbers 424, 498, 397, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.