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GCD of 820, 318, 931, 768 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, 318, 931, 768 quickly. Get the easiest ways to solve the greatest common divisor of 820, 318, 931, 768 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 318, 931, 768 with Factoring?

Given Input numbers are 820, 318, 931, 768

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 318 :

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

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

Divisors of 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768


GCD of numbers is the greatest common divisor

So, the GCD (820, 318, 931, 768) = 1.

Find GCD of 820, 318, 931, 768 using Prime Factorization

Given numbers are 820, 318, 931, 768

The list of prime factors of all numbers are

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

Prime factors of 318 are 2 x 3 x 53

Prime factors of 931 are 7 x 7 x 19

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Steps to Calculate GCD of 820, 318, 931, 768 using LCM Formula

Given numbers are 820, 318, 931, 768

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

Apply this formula for all numbers.

Step1:

LCM(820, 318) = 130380

GCD(820, 318) = ( 820 x 318 ) / 130380

= 820 / 318

= 820


Step2:

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

= 2 / 931

= 2


Step3:

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

= 1 / 768

= 1


So, Greatest Common Divisor of 820, 318, 931, 768 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 318, 931, 768

Given numbers are 820, 318, 931, 768
The greatest common divisor of numbers 820, 318, 931, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 318, 931, 768 is 1.

FAQs on GCD of 820, 318, 931, 768 Calculator

1. What is the GCD of 820, 318, 931, 768?

GCD of given numbers 820, 318, 931, 768 is 1


2. How to calculate the greatest common divisor of 820, 318, 931, 768?

We can find the highest common divisor of 820, 318, 931, 768 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, 318, 931, 768 i.e 1.


3. How can I use the GCD of 820, 318, 931, 768Calculator?

Out the numbers 820, 318, 931, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.