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GCD of 820, 213, 233, 117 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, 213, 233, 117 quickly. Get the easiest ways to solve the greatest common divisor of 820, 213, 233, 117 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 213, 233, 117 with Factoring?

Given Input numbers are 820, 213, 233, 117

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 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 233 :

The positive integer divisors of 233 that completely divides 233 are.

1, 233

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117


GCD of numbers is the greatest common divisor

So, the GCD (820, 213, 233, 117) = 1.

Find GCD of 820, 213, 233, 117 using Prime Factorization

Given numbers are 820, 213, 233, 117

The list of prime factors of all numbers are

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

Prime factors of 213 are 3 x 71

Prime factors of 233 are 233

Prime factors of 117 are 3 x 3 x 13

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

Steps to Calculate GCD of 820, 213, 233, 117 using LCM Formula

Given numbers are 820, 213, 233, 117

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

Apply this formula for all numbers.

Step1:

LCM(820, 213) = 174660

GCD(820, 213) = ( 820 x 213 ) / 174660

= 820 / 213

= 820


Step2:

LCM(1, 233) = 233

GCD(1, 233) = ( 1 x 233 ) / 233

= 1 / 233

= 1


Step3:

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

= 1 / 117

= 1


So, Greatest Common Divisor of 820, 213, 233, 117 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 213, 233, 117

Given numbers are 820, 213, 233, 117
The greatest common divisor of numbers 820, 213, 233, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 213, 233, 117 is 1.

FAQs on GCD of 820, 213, 233, 117 Calculator

1. What is the GCD of 820, 213, 233, 117?

GCD of given numbers 820, 213, 233, 117 is 1


2. How to calculate the greatest common divisor of 820, 213, 233, 117?

We can find the highest common divisor of 820, 213, 233, 117 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, 213, 233, 117 i.e 1.


3. How can I use the GCD of 820, 213, 233, 117Calculator?

Out the numbers 820, 213, 233, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.