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GCD of 826, 289, 197, 369 Calculator

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


Online GCD Calculator is useful to find the GCD of 826, 289, 197, 369 quickly. Get the easiest ways to solve the greatest common divisor of 826, 289, 197, 369 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 826, 289, 197, 369 with Factoring?

Given Input numbers are 826, 289, 197, 369

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 289 :

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

1, 17, 289

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369


GCD of numbers is the greatest common divisor

So, the GCD (826, 289, 197, 369) = 1.

Find GCD of 826, 289, 197, 369 using Prime Factorization

Given numbers are 826, 289, 197, 369

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 289 are 17 x 17

Prime factors of 197 are 197

Prime factors of 369 are 3 x 3 x 41

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

Steps to Calculate GCD of 826, 289, 197, 369 using LCM Formula

Given numbers are 826, 289, 197, 369

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

Apply this formula for all numbers.

Step1:

LCM(826, 289) = 238714

GCD(826, 289) = ( 826 x 289 ) / 238714

= 826 / 289

= 826


Step2:

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

= 1 / 197

= 1


Step3:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1


So, Greatest Common Divisor of 826, 289, 197, 369 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 826, 289, 197, 369

Given numbers are 826, 289, 197, 369
The greatest common divisor of numbers 826, 289, 197, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 289, 197, 369 is 1.

FAQs on GCD of 826, 289, 197, 369 Calculator

1. What is the GCD of 826, 289, 197, 369?

GCD of given numbers 826, 289, 197, 369 is 1


2. How to calculate the greatest common divisor of 826, 289, 197, 369?

We can find the highest common divisor of 826, 289, 197, 369 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 826, 289, 197, 369 i.e 1.


3. How can I use the GCD of 826, 289, 197, 369Calculator?

Out the numbers 826, 289, 197, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.