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 780, 861, 963 Calculator

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


Online GCD Calculator is useful to find the GCD of 780, 861, 963 quickly. Get the easiest ways to solve the greatest common divisor of 780, 861, 963 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 861, 963 with Factoring?

Given Input numbers are 780, 861, 963

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963


GCD of numbers is the greatest common divisor

So, the GCD (780, 861, 963) = 3.

Find GCD of 780, 861, 963 using Prime Factorization

Given numbers are 780, 861, 963

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 861 are 3 x 7 x 41

Prime factors of 963 are 3 x 3 x 107

The highest common occurrence is 31

Therefore, GCD of 780, 861, 963 is 3.

Steps to Calculate GCD of 780, 861, 963 using LCM Formula

Given numbers are 780, 861, 963

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

Apply this formula for all numbers.

Step1:

LCM(780, 861) = 223860

GCD(780, 861) = ( 780 x 861 ) / 223860

= 780 / 861

= 780


Step2:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3


So, Greatest Common Divisor of 780, 861, 963 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 861, 963

Given numbers are 780, 861, 963
The greatest common divisor of numbers 780, 861, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 861, 963 is 3.

FAQs on GCD of 780, 861, 963 Calculator

1. What is the GCD of 780, 861, 963?

GCD of given numbers 780, 861, 963 is 3


2. How to calculate the greatest common divisor of 780, 861, 963?

We can find the highest common divisor of 780, 861, 963 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 780, 861, 963 i.e 3.


3. How can I use the GCD of 780, 861, 963Calculator?

Out the numbers 780, 861, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.