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GCD of 891, 731, 378, 784 Calculator

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


Online GCD Calculator is useful to find the GCD of 891, 731, 378, 784 quickly. Get the easiest ways to solve the greatest common divisor of 891, 731, 378, 784 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 891, 731, 378, 784 with Factoring?

Given Input numbers are 891, 731, 378, 784

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784


GCD of numbers is the greatest common divisor

So, the GCD (891, 731, 378, 784) = 1.

Find GCD of 891, 731, 378, 784 using Prime Factorization

Given numbers are 891, 731, 378, 784

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 731 are 17 x 43

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Steps to Calculate GCD of 891, 731, 378, 784 using LCM Formula

Given numbers are 891, 731, 378, 784

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

Apply this formula for all numbers.

Step1:

LCM(891, 731) = 651321

GCD(891, 731) = ( 891 x 731 ) / 651321

= 891 / 731

= 891


Step2:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1


Step3:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1


So, Greatest Common Divisor of 891, 731, 378, 784 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 891, 731, 378, 784

Given numbers are 891, 731, 378, 784
The greatest common divisor of numbers 891, 731, 378, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 731, 378, 784 is 1.

FAQs on GCD of 891, 731, 378, 784 Calculator

1. What is the GCD of 891, 731, 378, 784?

GCD of given numbers 891, 731, 378, 784 is 1


2. How to calculate the greatest common divisor of 891, 731, 378, 784?

We can find the highest common divisor of 891, 731, 378, 784 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 891, 731, 378, 784 i.e 1.


3. How can I use the GCD of 891, 731, 378, 784Calculator?

Out the numbers 891, 731, 378, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.