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 689, 271, 333, 945 Calculator

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


Online GCD Calculator is useful to find the GCD of 689, 271, 333, 945 quickly. Get the easiest ways to solve the greatest common divisor of 689, 271, 333, 945 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 689, 271, 333, 945 with Factoring?

Given Input numbers are 689, 271, 333, 945

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

Divisors of 689 :

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

1, 13, 53, 689

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945


GCD of numbers is the greatest common divisor

So, the GCD (689, 271, 333, 945) = 1.

Find GCD of 689, 271, 333, 945 using Prime Factorization

Given numbers are 689, 271, 333, 945

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 271 are 271

Prime factors of 333 are 3 x 3 x 37

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Steps to Calculate GCD of 689, 271, 333, 945 using LCM Formula

Given numbers are 689, 271, 333, 945

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

Apply this formula for all numbers.

Step1:

LCM(689, 271) = 186719

GCD(689, 271) = ( 689 x 271 ) / 186719

= 689 / 271

= 689


Step2:

LCM(1, 333) = 333

GCD(1, 333) = ( 1 x 333 ) / 333

= 1 / 333

= 1


Step3:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1


So, Greatest Common Divisor of 689, 271, 333, 945 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 689, 271, 333, 945

Given numbers are 689, 271, 333, 945
The greatest common divisor of numbers 689, 271, 333, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 271, 333, 945 is 1.

FAQs on GCD of 689, 271, 333, 945 Calculator

1. What is the GCD of 689, 271, 333, 945?

GCD of given numbers 689, 271, 333, 945 is 1


2. How to calculate the greatest common divisor of 689, 271, 333, 945?

We can find the highest common divisor of 689, 271, 333, 945 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 689, 271, 333, 945 i.e 1.


3. How can I use the GCD of 689, 271, 333, 945Calculator?

Out the numbers 689, 271, 333, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.