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, 857, 825, 732 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, 857, 825, 732 quickly. Get the easiest ways to solve the greatest common divisor of 689, 857, 825, 732 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 689, 857, 825, 732 with Factoring?

Given Input numbers are 689, 857, 825, 732

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 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732


GCD of numbers is the greatest common divisor

So, the GCD (689, 857, 825, 732) = 1.

Find GCD of 689, 857, 825, 732 using Prime Factorization

Given numbers are 689, 857, 825, 732

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 857 are 857

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 732 are 2 x 2 x 3 x 61

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

Steps to Calculate GCD of 689, 857, 825, 732 using LCM Formula

Given numbers are 689, 857, 825, 732

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

Apply this formula for all numbers.

Step1:

LCM(689, 857) = 590473

GCD(689, 857) = ( 689 x 857 ) / 590473

= 689 / 857

= 689


Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1


Step3:

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

= 1 / 732

= 1


So, Greatest Common Divisor of 689, 857, 825, 732 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 689, 857, 825, 732

Given numbers are 689, 857, 825, 732
The greatest common divisor of numbers 689, 857, 825, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 857, 825, 732 is 1.

FAQs on GCD of 689, 857, 825, 732 Calculator

1. What is the GCD of 689, 857, 825, 732?

GCD of given numbers 689, 857, 825, 732 is 1


2. How to calculate the greatest common divisor of 689, 857, 825, 732?

We can find the highest common divisor of 689, 857, 825, 732 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, 857, 825, 732 i.e 1.


3. How can I use the GCD of 689, 857, 825, 732Calculator?

Out the numbers 689, 857, 825, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.