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GCD of 842, 430, 394, 742 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, 430, 394, 742 quickly. Get the easiest ways to solve the greatest common divisor of 842, 430, 394, 742 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 842, 430, 394, 742 with Factoring?

Given Input numbers are 842, 430, 394, 742

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 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742


GCD of numbers is the greatest common divisor

So, the GCD (842, 430, 394, 742) = 2.

Find GCD of 842, 430, 394, 742 using Prime Factorization

Given numbers are 842, 430, 394, 742

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 430 are 2 x 5 x 43

Prime factors of 394 are 2 x 197

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 21

Therefore, GCD of 842, 430, 394, 742 is 2.

Steps to Calculate GCD of 842, 430, 394, 742 using LCM Formula

Given numbers are 842, 430, 394, 742

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

Apply this formula for all numbers.

Step1:

LCM(842, 430) = 181030

GCD(842, 430) = ( 842 x 430 ) / 181030

= 842 / 430

= 842


Step2:

LCM(2, 394) = 394

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

= 2 / 394

= 2


Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2


So, Greatest Common Divisor of 842, 430, 394, 742 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 842, 430, 394, 742

Given numbers are 842, 430, 394, 742
The greatest common divisor of numbers 842, 430, 394, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 430, 394, 742 is 2.

FAQs on GCD of 842, 430, 394, 742 Calculator

1. What is the GCD of 842, 430, 394, 742?

GCD of given numbers 842, 430, 394, 742 is 2


2. How to calculate the greatest common divisor of 842, 430, 394, 742?

We can find the highest common divisor of 842, 430, 394, 742 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, 430, 394, 742 i.e 2.


3. How can I use the GCD of 842, 430, 394, 742Calculator?

Out the numbers 842, 430, 394, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.