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, 232, 902, 856 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, 232, 902, 856 quickly. Get the easiest ways to solve the greatest common divisor of 689, 232, 902, 856 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 689, 232, 902, 856 with Factoring?

Given Input numbers are 689, 232, 902, 856

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 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856


GCD of numbers is the greatest common divisor

So, the GCD (689, 232, 902, 856) = 1.

Find GCD of 689, 232, 902, 856 using Prime Factorization

Given numbers are 689, 232, 902, 856

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 902 are 2 x 11 x 41

Prime factors of 856 are 2 x 2 x 2 x 107

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

Steps to Calculate GCD of 689, 232, 902, 856 using LCM Formula

Given numbers are 689, 232, 902, 856

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

Apply this formula for all numbers.

Step1:

LCM(689, 232) = 159848

GCD(689, 232) = ( 689 x 232 ) / 159848

= 689 / 232

= 689


Step2:

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

= 1 / 902

= 1


Step3:

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

= 1 / 856

= 1


So, Greatest Common Divisor of 689, 232, 902, 856 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 689, 232, 902, 856

Given numbers are 689, 232, 902, 856
The greatest common divisor of numbers 689, 232, 902, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 232, 902, 856 is 1.

FAQs on GCD of 689, 232, 902, 856 Calculator

1. What is the GCD of 689, 232, 902, 856?

GCD of given numbers 689, 232, 902, 856 is 1


2. How to calculate the greatest common divisor of 689, 232, 902, 856?

We can find the highest common divisor of 689, 232, 902, 856 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, 232, 902, 856 i.e 1.


3. How can I use the GCD of 689, 232, 902, 856Calculator?

Out the numbers 689, 232, 902, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.