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GCD of 826, 509, 147, 394 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, 509, 147, 394 quickly. Get the easiest ways to solve the greatest common divisor of 826, 509, 147, 394 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 826, 509, 147, 394 with Factoring?

Given Input numbers are 826, 509, 147, 394

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 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394


GCD of numbers is the greatest common divisor

So, the GCD (826, 509, 147, 394) = 1.

Find GCD of 826, 509, 147, 394 using Prime Factorization

Given numbers are 826, 509, 147, 394

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 509 are 509

Prime factors of 147 are 3 x 7 x 7

Prime factors of 394 are 2 x 197

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

Steps to Calculate GCD of 826, 509, 147, 394 using LCM Formula

Given numbers are 826, 509, 147, 394

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

Apply this formula for all numbers.

Step1:

LCM(826, 509) = 420434

GCD(826, 509) = ( 826 x 509 ) / 420434

= 826 / 509

= 826


Step2:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1


Step3:

LCM(1, 394) = 394

GCD(1, 394) = ( 1 x 394 ) / 394

= 1 / 394

= 1


So, Greatest Common Divisor of 826, 509, 147, 394 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 826, 509, 147, 394

Given numbers are 826, 509, 147, 394
The greatest common divisor of numbers 826, 509, 147, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 509, 147, 394 is 1.

FAQs on GCD of 826, 509, 147, 394 Calculator

1. What is the GCD of 826, 509, 147, 394?

GCD of given numbers 826, 509, 147, 394 is 1


2. How to calculate the greatest common divisor of 826, 509, 147, 394?

We can find the highest common divisor of 826, 509, 147, 394 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, 509, 147, 394 i.e 1.


3. How can I use the GCD of 826, 509, 147, 394Calculator?

Out the numbers 826, 509, 147, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.