LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 826, 993, 289, 714 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, 993, 289, 714 quickly. Get the easiest ways to solve the greatest common divisor of 826, 993, 289, 714 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 826, 993, 289, 714 with Factoring?

Given Input numbers are 826, 993, 289, 714

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 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 289 :

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

1, 17, 289

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714


GCD of numbers is the greatest common divisor

So, the GCD (826, 993, 289, 714) = 1.

Find GCD of 826, 993, 289, 714 using Prime Factorization

Given numbers are 826, 993, 289, 714

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 993 are 3 x 331

Prime factors of 289 are 17 x 17

Prime factors of 714 are 2 x 3 x 7 x 17

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

Steps to Calculate GCD of 826, 993, 289, 714 using LCM Formula

Given numbers are 826, 993, 289, 714

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

Apply this formula for all numbers.

Step1:

LCM(826, 993) = 820218

GCD(826, 993) = ( 826 x 993 ) / 820218

= 826 / 993

= 826


Step2:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1


Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1


So, Greatest Common Divisor of 826, 993, 289, 714 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 826, 993, 289, 714

Given numbers are 826, 993, 289, 714
The greatest common divisor of numbers 826, 993, 289, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 993, 289, 714 is 1.

FAQs on GCD of 826, 993, 289, 714 Calculator

1. What is the GCD of 826, 993, 289, 714?

GCD of given numbers 826, 993, 289, 714 is 1


2. How to calculate the greatest common divisor of 826, 993, 289, 714?

We can find the highest common divisor of 826, 993, 289, 714 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, 993, 289, 714 i.e 1.


3. How can I use the GCD of 826, 993, 289, 714Calculator?

Out the numbers 826, 993, 289, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.