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GCD of 693, 819, 378, 340 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, 819, 378, 340 quickly. Get the easiest ways to solve the greatest common divisor of 693, 819, 378, 340 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 693, 819, 378, 340 with Factoring?

Given Input numbers are 693, 819, 378, 340

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 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340


GCD of numbers is the greatest common divisor

So, the GCD (693, 819, 378, 340) = 1.

Find GCD of 693, 819, 378, 340 using Prime Factorization

Given numbers are 693, 819, 378, 340

The list of prime factors of all numbers are

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

Prime factors of 819 are 3 x 3 x 7 x 13

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 340 are 2 x 2 x 5 x 17

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

Steps to Calculate GCD of 693, 819, 378, 340 using LCM Formula

Given numbers are 693, 819, 378, 340

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

Apply this formula for all numbers.

Step1:

LCM(693, 819) = 9009

GCD(693, 819) = ( 693 x 819 ) / 9009

= 693 / 819

= 693


Step2:

LCM(63, 378) = 378

GCD(63, 378) = ( 63 x 378 ) / 378

= 63 / 378

= 63


Step3:

LCM(63, 340) = 21420

GCD(63, 340) = ( 63 x 340 ) / 21420

= 63 / 340

= 63


So, Greatest Common Divisor of 693, 819, 378, 340 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 693, 819, 378, 340

Given numbers are 693, 819, 378, 340
The greatest common divisor of numbers 693, 819, 378, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 819, 378, 340 is 1.

FAQs on GCD of 693, 819, 378, 340 Calculator

1. What is the GCD of 693, 819, 378, 340?

GCD of given numbers 693, 819, 378, 340 is 1


2. How to calculate the greatest common divisor of 693, 819, 378, 340?

We can find the highest common divisor of 693, 819, 378, 340 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, 819, 378, 340 i.e 1.


3. How can I use the GCD of 693, 819, 378, 340Calculator?

Out the numbers 693, 819, 378, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.