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GCD of 363, 914, 699, 891 Calculator

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


Online GCD Calculator is useful to find the GCD of 363, 914, 699, 891 quickly. Get the easiest ways to solve the greatest common divisor of 363, 914, 699, 891 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 363, 914, 699, 891 with Factoring?

Given Input numbers are 363, 914, 699, 891

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891


GCD of numbers is the greatest common divisor

So, the GCD (363, 914, 699, 891) = 1.

Find GCD of 363, 914, 699, 891 using Prime Factorization

Given numbers are 363, 914, 699, 891

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 914 are 2 x 457

Prime factors of 699 are 3 x 233

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

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

Steps to Calculate GCD of 363, 914, 699, 891 using LCM Formula

Given numbers are 363, 914, 699, 891

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

Apply this formula for all numbers.

Step1:

LCM(363, 914) = 331782

GCD(363, 914) = ( 363 x 914 ) / 331782

= 363 / 914

= 363


Step2:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1


Step3:

LCM(1, 891) = 891

GCD(1, 891) = ( 1 x 891 ) / 891

= 1 / 891

= 1


So, Greatest Common Divisor of 363, 914, 699, 891 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 363, 914, 699, 891

Given numbers are 363, 914, 699, 891
The greatest common divisor of numbers 363, 914, 699, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 914, 699, 891 is 1.

FAQs on GCD of 363, 914, 699, 891 Calculator

1. What is the GCD of 363, 914, 699, 891?

GCD of given numbers 363, 914, 699, 891 is 1


2. How to calculate the greatest common divisor of 363, 914, 699, 891?

We can find the highest common divisor of 363, 914, 699, 891 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 363, 914, 699, 891 i.e 1.


3. How can I use the GCD of 363, 914, 699, 891Calculator?

Out the numbers 363, 914, 699, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.