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GCD of 428, 822, 197, 478 Calculator

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


Online GCD Calculator is useful to find the GCD of 428, 822, 197, 478 quickly. Get the easiest ways to solve the greatest common divisor of 428, 822, 197, 478 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 428, 822, 197, 478 with Factoring?

Given Input numbers are 428, 822, 197, 478

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 822 :

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

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

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478


GCD of numbers is the greatest common divisor

So, the GCD (428, 822, 197, 478) = 1.

Find GCD of 428, 822, 197, 478 using Prime Factorization

Given numbers are 428, 822, 197, 478

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 822 are 2 x 3 x 137

Prime factors of 197 are 197

Prime factors of 478 are 2 x 239

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

Steps to Calculate GCD of 428, 822, 197, 478 using LCM Formula

Given numbers are 428, 822, 197, 478

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

Apply this formula for all numbers.

Step1:

LCM(428, 822) = 175908

GCD(428, 822) = ( 428 x 822 ) / 175908

= 428 / 822

= 428


Step2:

LCM(2, 197) = 394

GCD(2, 197) = ( 2 x 197 ) / 394

= 2 / 197

= 2


Step3:

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

= 1 / 478

= 1


So, Greatest Common Divisor of 428, 822, 197, 478 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 428, 822, 197, 478

Given numbers are 428, 822, 197, 478
The greatest common divisor of numbers 428, 822, 197, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 822, 197, 478 is 1.

FAQs on GCD of 428, 822, 197, 478 Calculator

1. What is the GCD of 428, 822, 197, 478?

GCD of given numbers 428, 822, 197, 478 is 1


2. How to calculate the greatest common divisor of 428, 822, 197, 478?

We can find the highest common divisor of 428, 822, 197, 478 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 428, 822, 197, 478 i.e 1.


3. How can I use the GCD of 428, 822, 197, 478Calculator?

Out the numbers 428, 822, 197, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.