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GCD of 822, 849, 780, 893 Calculator

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


Online GCD Calculator is useful to find the GCD of 822, 849, 780, 893 quickly. Get the easiest ways to solve the greatest common divisor of 822, 849, 780, 893 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 822, 849, 780, 893 with Factoring?

Given Input numbers are 822, 849, 780, 893

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 893 :

The positive integer divisors of 893 that completely divides 893 are.

1, 19, 47, 893


GCD of numbers is the greatest common divisor

So, the GCD (822, 849, 780, 893) = 1.

Find GCD of 822, 849, 780, 893 using Prime Factorization

Given numbers are 822, 849, 780, 893

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 849 are 3 x 283

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 893 are 19 x 47

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

Steps to Calculate GCD of 822, 849, 780, 893 using LCM Formula

Given numbers are 822, 849, 780, 893

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

Apply this formula for all numbers.

Step1:

LCM(822, 849) = 232626

GCD(822, 849) = ( 822 x 849 ) / 232626

= 822 / 849

= 822


Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3


Step3:

LCM(3, 893) = 2679

GCD(3, 893) = ( 3 x 893 ) / 2679

= 3 / 893

= 3


So, Greatest Common Divisor of 822, 849, 780, 893 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 822, 849, 780, 893

Given numbers are 822, 849, 780, 893
The greatest common divisor of numbers 822, 849, 780, 893 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 849, 780, 893 is 1.

FAQs on GCD of 822, 849, 780, 893 Calculator

1. What is the GCD of 822, 849, 780, 893?

GCD of given numbers 822, 849, 780, 893 is 1


2. How to calculate the greatest common divisor of 822, 849, 780, 893?

We can find the highest common divisor of 822, 849, 780, 893 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 822, 849, 780, 893 i.e 1.


3. How can I use the GCD of 822, 849, 780, 893Calculator?

Out the numbers 822, 849, 780, 893 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.