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GCD of 842, 289, 114, 716 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, 289, 114, 716 quickly. Get the easiest ways to solve the greatest common divisor of 842, 289, 114, 716 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 842, 289, 114, 716 with Factoring?

Given Input numbers are 842, 289, 114, 716

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 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716


GCD of numbers is the greatest common divisor

So, the GCD (842, 289, 114, 716) = 1.

Find GCD of 842, 289, 114, 716 using Prime Factorization

Given numbers are 842, 289, 114, 716

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 289 are 17 x 17

Prime factors of 114 are 2 x 3 x 19

Prime factors of 716 are 2 x 2 x 179

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

Steps to Calculate GCD of 842, 289, 114, 716 using LCM Formula

Given numbers are 842, 289, 114, 716

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

Apply this formula for all numbers.

Step1:

LCM(842, 289) = 243338

GCD(842, 289) = ( 842 x 289 ) / 243338

= 842 / 289

= 842


Step2:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1


Step3:

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

= 1 / 716

= 1


So, Greatest Common Divisor of 842, 289, 114, 716 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 842, 289, 114, 716

Given numbers are 842, 289, 114, 716
The greatest common divisor of numbers 842, 289, 114, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 289, 114, 716 is 1.

FAQs on GCD of 842, 289, 114, 716 Calculator

1. What is the GCD of 842, 289, 114, 716?

GCD of given numbers 842, 289, 114, 716 is 1


2. How to calculate the greatest common divisor of 842, 289, 114, 716?

We can find the highest common divisor of 842, 289, 114, 716 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, 289, 114, 716 i.e 1.


3. How can I use the GCD of 842, 289, 114, 716Calculator?

Out the numbers 842, 289, 114, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.