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GCD of 693, 209, 722, 341 Calculator

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


Online GCD Calculator is useful to find the GCD of 693, 209, 722, 341 quickly. Get the easiest ways to solve the greatest common divisor of 693, 209, 722, 341 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 693, 209, 722, 341 with Factoring?

Given Input numbers are 693, 209, 722, 341

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

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341


GCD of numbers is the greatest common divisor

So, the GCD (693, 209, 722, 341) = 1.

Find GCD of 693, 209, 722, 341 using Prime Factorization

Given numbers are 693, 209, 722, 341

The list of prime factors of all numbers are

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 209 are 11 x 19

Prime factors of 722 are 2 x 19 x 19

Prime factors of 341 are 11 x 31

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

Steps to Calculate GCD of 693, 209, 722, 341 using LCM Formula

Given numbers are 693, 209, 722, 341

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

Apply this formula for all numbers.

Step1:

LCM(693, 209) = 13167

GCD(693, 209) = ( 693 x 209 ) / 13167

= 693 / 209

= 693


Step2:

LCM(11, 722) = 7942

GCD(11, 722) = ( 11 x 722 ) / 7942

= 11 / 722

= 11


Step3:

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

= 1 / 341

= 1


So, Greatest Common Divisor of 693, 209, 722, 341 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 693, 209, 722, 341

Given numbers are 693, 209, 722, 341
The greatest common divisor of numbers 693, 209, 722, 341 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 209, 722, 341 is 1.

FAQs on GCD of 693, 209, 722, 341 Calculator

1. What is the GCD of 693, 209, 722, 341?

GCD of given numbers 693, 209, 722, 341 is 1


2. How to calculate the greatest common divisor of 693, 209, 722, 341?

We can find the highest common divisor of 693, 209, 722, 341 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 693, 209, 722, 341 i.e 1.


3. How can I use the GCD of 693, 209, 722, 341Calculator?

Out the numbers 693, 209, 722, 341 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.