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GCD of 966, 823, 889, 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 966, 823, 889, 772 quickly. Get the easiest ways to solve the greatest common divisor of 966, 823, 889, 772 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 966, 823, 889, 772 with Factoring?

Given Input numbers are 966, 823, 889, 772

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

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

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

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 (966, 823, 889, 772) = 1.

Find GCD of 966, 823, 889, 772 using Prime Factorization

Given numbers are 966, 823, 889, 772

The list of prime factors of all numbers are

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

Prime factors of 823 are 823

Prime factors of 889 are 7 x 127

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 966, 823, 889, 772 using LCM Formula

Given numbers are 966, 823, 889, 772

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

Apply this formula for all numbers.

Step1:

LCM(966, 823) = 795018

GCD(966, 823) = ( 966 x 823 ) / 795018

= 966 / 823

= 966


Step2:

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

= 1 / 889

= 1


Step3:

LCM(1, 772) = 772

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

= 1 / 772

= 1


So, Greatest Common Divisor of 966, 823, 889, 772 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 966, 823, 889, 772

Given numbers are 966, 823, 889, 772
The greatest common divisor of numbers 966, 823, 889, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 823, 889, 772 is 1.

FAQs on GCD of 966, 823, 889, 772 Calculator

1. What is the GCD of 966, 823, 889, 772?

GCD of given numbers 966, 823, 889, 772 is 1


2. How to calculate the greatest common divisor of 966, 823, 889, 772?

We can find the highest common divisor of 966, 823, 889, 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 966, 823, 889, 772 i.e 1.


3. How can I use the GCD of 966, 823, 889, 772Calculator?

Out the numbers 966, 823, 889, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.