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GCD of 820, 695, 16, 318 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, 695, 16, 318 quickly. Get the easiest ways to solve the greatest common divisor of 820, 695, 16, 318 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 695, 16, 318 with Factoring?

Given Input numbers are 820, 695, 16, 318

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 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318


GCD of numbers is the greatest common divisor

So, the GCD (820, 695, 16, 318) = 1.

Find GCD of 820, 695, 16, 318 using Prime Factorization

Given numbers are 820, 695, 16, 318

The list of prime factors of all numbers are

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

Prime factors of 695 are 5 x 139

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 318 are 2 x 3 x 53

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

Steps to Calculate GCD of 820, 695, 16, 318 using LCM Formula

Given numbers are 820, 695, 16, 318

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

Apply this formula for all numbers.

Step1:

LCM(820, 695) = 113980

GCD(820, 695) = ( 820 x 695 ) / 113980

= 820 / 695

= 820


Step2:

LCM(5, 16) = 80

GCD(5, 16) = ( 5 x 16 ) / 80

= 5 / 16

= 5


Step3:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1


So, Greatest Common Divisor of 820, 695, 16, 318 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 695, 16, 318

Given numbers are 820, 695, 16, 318
The greatest common divisor of numbers 820, 695, 16, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 695, 16, 318 is 1.

FAQs on GCD of 820, 695, 16, 318 Calculator

1. What is the GCD of 820, 695, 16, 318?

GCD of given numbers 820, 695, 16, 318 is 1


2. How to calculate the greatest common divisor of 820, 695, 16, 318?

We can find the highest common divisor of 820, 695, 16, 318 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, 695, 16, 318 i.e 1.


3. How can I use the GCD of 820, 695, 16, 318Calculator?

Out the numbers 820, 695, 16, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.