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GCD of 829, 683, 921, 947 Calculator

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


Online GCD Calculator is useful to find the GCD of 829, 683, 921, 947 quickly. Get the easiest ways to solve the greatest common divisor of 829, 683, 921, 947 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 829, 683, 921, 947 with Factoring?

Given Input numbers are 829, 683, 921, 947

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

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 683 :

The positive integer divisors of 683 that completely divides 683 are.

1, 683

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 947 :

The positive integer divisors of 947 that completely divides 947 are.

1, 947


GCD of numbers is the greatest common divisor

So, the GCD (829, 683, 921, 947) = 1.

Find GCD of 829, 683, 921, 947 using Prime Factorization

Given numbers are 829, 683, 921, 947

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 683 are 683

Prime factors of 921 are 3 x 307

Prime factors of 947 are 947

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

Steps to Calculate GCD of 829, 683, 921, 947 using LCM Formula

Given numbers are 829, 683, 921, 947

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

Apply this formula for all numbers.

Step1:

LCM(829, 683) = 566207

GCD(829, 683) = ( 829 x 683 ) / 566207

= 829 / 683

= 829


Step2:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1


Step3:

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

= 1 / 947

= 1


So, Greatest Common Divisor of 829, 683, 921, 947 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 829, 683, 921, 947

Given numbers are 829, 683, 921, 947
The greatest common divisor of numbers 829, 683, 921, 947 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 683, 921, 947 is 1.

FAQs on GCD of 829, 683, 921, 947 Calculator

1. What is the GCD of 829, 683, 921, 947?

GCD of given numbers 829, 683, 921, 947 is 1


2. How to calculate the greatest common divisor of 829, 683, 921, 947?

We can find the highest common divisor of 829, 683, 921, 947 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 829, 683, 921, 947 i.e 1.


3. How can I use the GCD of 829, 683, 921, 947Calculator?

Out the numbers 829, 683, 921, 947 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.