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GCD of 821, 143, 318, 103 Calculator

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


Online GCD Calculator is useful to find the GCD of 821, 143, 318, 103 quickly. Get the easiest ways to solve the greatest common divisor of 821, 143, 318, 103 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 821, 143, 318, 103 with Factoring?

Given Input numbers are 821, 143, 318, 103

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 318 :

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

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

Divisors of 103 :

The positive integer divisors of 103 that completely divides 103 are.

1, 103


GCD of numbers is the greatest common divisor

So, the GCD (821, 143, 318, 103) = 1.

Find GCD of 821, 143, 318, 103 using Prime Factorization

Given numbers are 821, 143, 318, 103

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 143 are 11 x 13

Prime factors of 318 are 2 x 3 x 53

Prime factors of 103 are 103

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

Steps to Calculate GCD of 821, 143, 318, 103 using LCM Formula

Given numbers are 821, 143, 318, 103

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

Apply this formula for all numbers.

Step1:

LCM(821, 143) = 117403

GCD(821, 143) = ( 821 x 143 ) / 117403

= 821 / 143

= 821


Step2:

LCM(1, 318) = 318

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

= 1 / 318

= 1


Step3:

LCM(1, 103) = 103

GCD(1, 103) = ( 1 x 103 ) / 103

= 1 / 103

= 1


So, Greatest Common Divisor of 821, 143, 318, 103 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 821, 143, 318, 103

Given numbers are 821, 143, 318, 103
The greatest common divisor of numbers 821, 143, 318, 103 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 143, 318, 103 is 1.

FAQs on GCD of 821, 143, 318, 103 Calculator

1. What is the GCD of 821, 143, 318, 103?

GCD of given numbers 821, 143, 318, 103 is 1


2. How to calculate the greatest common divisor of 821, 143, 318, 103?

We can find the highest common divisor of 821, 143, 318, 103 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 821, 143, 318, 103 i.e 1.


3. How can I use the GCD of 821, 143, 318, 103Calculator?

Out the numbers 821, 143, 318, 103 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.