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 820, 458, 955, 689 Calculator

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


Online GCD Calculator is useful to find the GCD of 820, 458, 955, 689 quickly. Get the easiest ways to solve the greatest common divisor of 820, 458, 955, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 458, 955, 689 with Factoring?

Given Input numbers are 820, 458, 955, 689

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955

Divisors of 689 :

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

1, 13, 53, 689


GCD of numbers is the greatest common divisor

So, the GCD (820, 458, 955, 689) = 1.

Find GCD of 820, 458, 955, 689 using Prime Factorization

Given numbers are 820, 458, 955, 689

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 458 are 2 x 229

Prime factors of 955 are 5 x 191

Prime factors of 689 are 13 x 53

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

Steps to Calculate GCD of 820, 458, 955, 689 using LCM Formula

Given numbers are 820, 458, 955, 689

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

Apply this formula for all numbers.

Step1:

LCM(820, 458) = 187780

GCD(820, 458) = ( 820 x 458 ) / 187780

= 820 / 458

= 820


Step2:

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

= 2 / 955

= 2


Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1


So, Greatest Common Divisor of 820, 458, 955, 689 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 458, 955, 689

Given numbers are 820, 458, 955, 689
The greatest common divisor of numbers 820, 458, 955, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 458, 955, 689 is 1.

FAQs on GCD of 820, 458, 955, 689 Calculator

1. What is the GCD of 820, 458, 955, 689?

GCD of given numbers 820, 458, 955, 689 is 1


2. How to calculate the greatest common divisor of 820, 458, 955, 689?

We can find the highest common divisor of 820, 458, 955, 689 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 820, 458, 955, 689 i.e 1.


3. How can I use the GCD of 820, 458, 955, 689Calculator?

Out the numbers 820, 458, 955, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.