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GCD of 856, 393, 109, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 856, 393, 109, 772 quickly. Get the easiest ways to solve the greatest common divisor of 856, 393, 109, 772 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 856, 393, 109, 772 with Factoring?

Given Input numbers are 856, 393, 109, 772

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (856, 393, 109, 772) = 1.

Find GCD of 856, 393, 109, 772 using Prime Factorization

Given numbers are 856, 393, 109, 772

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 393 are 3 x 131

Prime factors of 109 are 109

Prime factors of 772 are 2 x 2 x 193

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

Steps to Calculate GCD of 856, 393, 109, 772 using LCM Formula

Given numbers are 856, 393, 109, 772

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

Apply this formula for all numbers.

Step1:

LCM(856, 393) = 336408

GCD(856, 393) = ( 856 x 393 ) / 336408

= 856 / 393

= 856


Step2:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1


Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1


So, Greatest Common Divisor of 856, 393, 109, 772 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 856, 393, 109, 772

Given numbers are 856, 393, 109, 772
The greatest common divisor of numbers 856, 393, 109, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 393, 109, 772 is 1.

FAQs on GCD of 856, 393, 109, 772 Calculator

1. What is the GCD of 856, 393, 109, 772?

GCD of given numbers 856, 393, 109, 772 is 1


2. How to calculate the greatest common divisor of 856, 393, 109, 772?

We can find the highest common divisor of 856, 393, 109, 772 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 856, 393, 109, 772 i.e 1.


3. How can I use the GCD of 856, 393, 109, 772Calculator?

Out the numbers 856, 393, 109, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.