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GCD of 853, 147, 289, 816 Calculator

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


Online GCD Calculator is useful to find the GCD of 853, 147, 289, 816 quickly. Get the easiest ways to solve the greatest common divisor of 853, 147, 289, 816 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 853, 147, 289, 816 with Factoring?

Given Input numbers are 853, 147, 289, 816

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

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 289 :

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

1, 17, 289

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816


GCD of numbers is the greatest common divisor

So, the GCD (853, 147, 289, 816) = 1.

Find GCD of 853, 147, 289, 816 using Prime Factorization

Given numbers are 853, 147, 289, 816

The list of prime factors of all numbers are

Prime factors of 853 are 853

Prime factors of 147 are 3 x 7 x 7

Prime factors of 289 are 17 x 17

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Steps to Calculate GCD of 853, 147, 289, 816 using LCM Formula

Given numbers are 853, 147, 289, 816

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

Apply this formula for all numbers.

Step1:

LCM(853, 147) = 125391

GCD(853, 147) = ( 853 x 147 ) / 125391

= 853 / 147

= 853


Step2:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1


Step3:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1


So, Greatest Common Divisor of 853, 147, 289, 816 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 853, 147, 289, 816

Given numbers are 853, 147, 289, 816
The greatest common divisor of numbers 853, 147, 289, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 853, 147, 289, 816 is 1.

FAQs on GCD of 853, 147, 289, 816 Calculator

1. What is the GCD of 853, 147, 289, 816?

GCD of given numbers 853, 147, 289, 816 is 1


2. How to calculate the greatest common divisor of 853, 147, 289, 816?

We can find the highest common divisor of 853, 147, 289, 816 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 853, 147, 289, 816 i.e 1.


3. How can I use the GCD of 853, 147, 289, 816Calculator?

Out the numbers 853, 147, 289, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.