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GCD of 851, 744, 585, 966 Calculator

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


Online GCD Calculator is useful to find the GCD of 851, 744, 585, 966 quickly. Get the easiest ways to solve the greatest common divisor of 851, 744, 585, 966 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 851, 744, 585, 966 with Factoring?

Given Input numbers are 851, 744, 585, 966

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

Divisors of 851 :

The positive integer divisors of 851 that completely divides 851 are.

1, 23, 37, 851

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966


GCD of numbers is the greatest common divisor

So, the GCD (851, 744, 585, 966) = 1.

Find GCD of 851, 744, 585, 966 using Prime Factorization

Given numbers are 851, 744, 585, 966

The list of prime factors of all numbers are

Prime factors of 851 are 23 x 37

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 966 are 2 x 3 x 7 x 23

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

Steps to Calculate GCD of 851, 744, 585, 966 using LCM Formula

Given numbers are 851, 744, 585, 966

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

Apply this formula for all numbers.

Step1:

LCM(851, 744) = 633144

GCD(851, 744) = ( 851 x 744 ) / 633144

= 851 / 744

= 851


Step2:

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

= 1 / 585

= 1


Step3:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1


So, Greatest Common Divisor of 851, 744, 585, 966 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 851, 744, 585, 966

Given numbers are 851, 744, 585, 966
The greatest common divisor of numbers 851, 744, 585, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 851, 744, 585, 966 is 1.

FAQs on GCD of 851, 744, 585, 966 Calculator

1. What is the GCD of 851, 744, 585, 966?

GCD of given numbers 851, 744, 585, 966 is 1


2. How to calculate the greatest common divisor of 851, 744, 585, 966?

We can find the highest common divisor of 851, 744, 585, 966 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 851, 744, 585, 966 i.e 1.


3. How can I use the GCD of 851, 744, 585, 966Calculator?

Out the numbers 851, 744, 585, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.