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GCD of 787, 896, 365, 391 Calculator

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


Online GCD Calculator is useful to find the GCD of 787, 896, 365, 391 quickly. Get the easiest ways to solve the greatest common divisor of 787, 896, 365, 391 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 787, 896, 365, 391 with Factoring?

Given Input numbers are 787, 896, 365, 391

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

Divisors of 787 :

The positive integer divisors of 787 that completely divides 787 are.

1, 787

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391


GCD of numbers is the greatest common divisor

So, the GCD (787, 896, 365, 391) = 1.

Find GCD of 787, 896, 365, 391 using Prime Factorization

Given numbers are 787, 896, 365, 391

The list of prime factors of all numbers are

Prime factors of 787 are 787

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 365 are 5 x 73

Prime factors of 391 are 17 x 23

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

Steps to Calculate GCD of 787, 896, 365, 391 using LCM Formula

Given numbers are 787, 896, 365, 391

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

Apply this formula for all numbers.

Step1:

LCM(787, 896) = 705152

GCD(787, 896) = ( 787 x 896 ) / 705152

= 787 / 896

= 787


Step2:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1


Step3:

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

= 1 / 391

= 1


So, Greatest Common Divisor of 787, 896, 365, 391 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 787, 896, 365, 391

Given numbers are 787, 896, 365, 391
The greatest common divisor of numbers 787, 896, 365, 391 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 787, 896, 365, 391 is 1.

FAQs on GCD of 787, 896, 365, 391 Calculator

1. What is the GCD of 787, 896, 365, 391?

GCD of given numbers 787, 896, 365, 391 is 1


2. How to calculate the greatest common divisor of 787, 896, 365, 391?

We can find the highest common divisor of 787, 896, 365, 391 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 787, 896, 365, 391 i.e 1.


3. How can I use the GCD of 787, 896, 365, 391Calculator?

Out the numbers 787, 896, 365, 391 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.