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GCD of 842, 204, 698, 433 Calculator

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


Online GCD Calculator is useful to find the GCD of 842, 204, 698, 433 quickly. Get the easiest ways to solve the greatest common divisor of 842, 204, 698, 433 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 842, 204, 698, 433 with Factoring?

Given Input numbers are 842, 204, 698, 433

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 433 :

The positive integer divisors of 433 that completely divides 433 are.

1, 433


GCD of numbers is the greatest common divisor

So, the GCD (842, 204, 698, 433) = 1.

Find GCD of 842, 204, 698, 433 using Prime Factorization

Given numbers are 842, 204, 698, 433

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 698 are 2 x 349

Prime factors of 433 are 433

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

Steps to Calculate GCD of 842, 204, 698, 433 using LCM Formula

Given numbers are 842, 204, 698, 433

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

Apply this formula for all numbers.

Step1:

LCM(842, 204) = 85884

GCD(842, 204) = ( 842 x 204 ) / 85884

= 842 / 204

= 842


Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2


Step3:

LCM(2, 433) = 866

GCD(2, 433) = ( 2 x 433 ) / 866

= 2 / 433

= 2


So, Greatest Common Divisor of 842, 204, 698, 433 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 842, 204, 698, 433

Given numbers are 842, 204, 698, 433
The greatest common divisor of numbers 842, 204, 698, 433 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 204, 698, 433 is 1.

FAQs on GCD of 842, 204, 698, 433 Calculator

1. What is the GCD of 842, 204, 698, 433?

GCD of given numbers 842, 204, 698, 433 is 1


2. How to calculate the greatest common divisor of 842, 204, 698, 433?

We can find the highest common divisor of 842, 204, 698, 433 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 842, 204, 698, 433 i.e 1.


3. How can I use the GCD of 842, 204, 698, 433Calculator?

Out the numbers 842, 204, 698, 433 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.