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 471, 689, 963, 312 Calculator

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


Online GCD Calculator is useful to find the GCD of 471, 689, 963, 312 quickly. Get the easiest ways to solve the greatest common divisor of 471, 689, 963, 312 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 471, 689, 963, 312 with Factoring?

Given Input numbers are 471, 689, 963, 312

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

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 963 :

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

1, 3, 9, 107, 321, 963

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312


GCD of numbers is the greatest common divisor

So, the GCD (471, 689, 963, 312) = 1.

Find GCD of 471, 689, 963, 312 using Prime Factorization

Given numbers are 471, 689, 963, 312

The list of prime factors of all numbers are

Prime factors of 471 are 3 x 157

Prime factors of 689 are 13 x 53

Prime factors of 963 are 3 x 3 x 107

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Steps to Calculate GCD of 471, 689, 963, 312 using LCM Formula

Given numbers are 471, 689, 963, 312

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

Apply this formula for all numbers.

Step1:

LCM(471, 689) = 324519

GCD(471, 689) = ( 471 x 689 ) / 324519

= 471 / 689

= 471


Step2:

LCM(1, 963) = 963

GCD(1, 963) = ( 1 x 963 ) / 963

= 1 / 963

= 1


Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1


So, Greatest Common Divisor of 471, 689, 963, 312 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 471, 689, 963, 312

Given numbers are 471, 689, 963, 312
The greatest common divisor of numbers 471, 689, 963, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 471, 689, 963, 312 is 1.

FAQs on GCD of 471, 689, 963, 312 Calculator

1. What is the GCD of 471, 689, 963, 312?

GCD of given numbers 471, 689, 963, 312 is 1


2. How to calculate the greatest common divisor of 471, 689, 963, 312?

We can find the highest common divisor of 471, 689, 963, 312 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 471, 689, 963, 312 i.e 1.


3. How can I use the GCD of 471, 689, 963, 312Calculator?

Out the numbers 471, 689, 963, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.