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GCD of 381, 782, 396, 857 Calculator

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


Online GCD Calculator is useful to find the GCD of 381, 782, 396, 857 quickly. Get the easiest ways to solve the greatest common divisor of 381, 782, 396, 857 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 381, 782, 396, 857 with Factoring?

Given Input numbers are 381, 782, 396, 857

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857


GCD of numbers is the greatest common divisor

So, the GCD (381, 782, 396, 857) = 1.

Find GCD of 381, 782, 396, 857 using Prime Factorization

Given numbers are 381, 782, 396, 857

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 782 are 2 x 17 x 23

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 857 are 857

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

Steps to Calculate GCD of 381, 782, 396, 857 using LCM Formula

Given numbers are 381, 782, 396, 857

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

Apply this formula for all numbers.

Step1:

LCM(381, 782) = 297942

GCD(381, 782) = ( 381 x 782 ) / 297942

= 381 / 782

= 381


Step2:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1


Step3:

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

= 1 / 857

= 1


So, Greatest Common Divisor of 381, 782, 396, 857 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 381, 782, 396, 857

Given numbers are 381, 782, 396, 857
The greatest common divisor of numbers 381, 782, 396, 857 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 782, 396, 857 is 1.

FAQs on GCD of 381, 782, 396, 857 Calculator

1. What is the GCD of 381, 782, 396, 857?

GCD of given numbers 381, 782, 396, 857 is 1


2. How to calculate the greatest common divisor of 381, 782, 396, 857?

We can find the highest common divisor of 381, 782, 396, 857 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 381, 782, 396, 857 i.e 1.


3. How can I use the GCD of 381, 782, 396, 857Calculator?

Out the numbers 381, 782, 396, 857 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.