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GCD of 822, 429, 298, 862 Calculator

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


Online GCD Calculator is useful to find the GCD of 822, 429, 298, 862 quickly. Get the easiest ways to solve the greatest common divisor of 822, 429, 298, 862 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 822, 429, 298, 862 with Factoring?

Given Input numbers are 822, 429, 298, 862

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

Divisors of 822 :

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

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

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862


GCD of numbers is the greatest common divisor

So, the GCD (822, 429, 298, 862) = 1.

Find GCD of 822, 429, 298, 862 using Prime Factorization

Given numbers are 822, 429, 298, 862

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 429 are 3 x 11 x 13

Prime factors of 298 are 2 x 149

Prime factors of 862 are 2 x 431

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

Steps to Calculate GCD of 822, 429, 298, 862 using LCM Formula

Given numbers are 822, 429, 298, 862

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

Apply this formula for all numbers.

Step1:

LCM(822, 429) = 117546

GCD(822, 429) = ( 822 x 429 ) / 117546

= 822 / 429

= 822


Step2:

LCM(3, 298) = 894

GCD(3, 298) = ( 3 x 298 ) / 894

= 3 / 298

= 3


Step3:

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

= 1 / 862

= 1


So, Greatest Common Divisor of 822, 429, 298, 862 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 822, 429, 298, 862

Given numbers are 822, 429, 298, 862
The greatest common divisor of numbers 822, 429, 298, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 429, 298, 862 is 1.

FAQs on GCD of 822, 429, 298, 862 Calculator

1. What is the GCD of 822, 429, 298, 862?

GCD of given numbers 822, 429, 298, 862 is 1


2. How to calculate the greatest common divisor of 822, 429, 298, 862?

We can find the highest common divisor of 822, 429, 298, 862 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 822, 429, 298, 862 i.e 1.


3. How can I use the GCD of 822, 429, 298, 862Calculator?

Out the numbers 822, 429, 298, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.