LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 894, 855, 960, 961 Calculator

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


Online GCD Calculator is useful to find the GCD of 894, 855, 960, 961 quickly. Get the easiest ways to solve the greatest common divisor of 894, 855, 960, 961 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 894, 855, 960, 961 with Factoring?

Given Input numbers are 894, 855, 960, 961

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961


GCD of numbers is the greatest common divisor

So, the GCD (894, 855, 960, 961) = 1.

Find GCD of 894, 855, 960, 961 using Prime Factorization

Given numbers are 894, 855, 960, 961

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 961 are 31 x 31

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

Steps to Calculate GCD of 894, 855, 960, 961 using LCM Formula

Given numbers are 894, 855, 960, 961

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

Apply this formula for all numbers.

Step1:

LCM(894, 855) = 254790

GCD(894, 855) = ( 894 x 855 ) / 254790

= 894 / 855

= 894


Step2:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3


Step3:

LCM(3, 961) = 2883

GCD(3, 961) = ( 3 x 961 ) / 2883

= 3 / 961

= 3


So, Greatest Common Divisor of 894, 855, 960, 961 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 894, 855, 960, 961

Given numbers are 894, 855, 960, 961
The greatest common divisor of numbers 894, 855, 960, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 855, 960, 961 is 1.

FAQs on GCD of 894, 855, 960, 961 Calculator

1. What is the GCD of 894, 855, 960, 961?

GCD of given numbers 894, 855, 960, 961 is 1


2. How to calculate the greatest common divisor of 894, 855, 960, 961?

We can find the highest common divisor of 894, 855, 960, 961 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 894, 855, 960, 961 i.e 1.


3. How can I use the GCD of 894, 855, 960, 961Calculator?

Out the numbers 894, 855, 960, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.