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GCD of 143, 296, 205, 123 Calculator

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


Online GCD Calculator is useful to find the GCD of 143, 296, 205, 123 quickly. Get the easiest ways to solve the greatest common divisor of 143, 296, 205, 123 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 143, 296, 205, 123 with Factoring?

Given Input numbers are 143, 296, 205, 123

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

Divisors of 143 :

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

1, 11, 13, 143

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123


GCD of numbers is the greatest common divisor

So, the GCD (143, 296, 205, 123) = 1.

Find GCD of 143, 296, 205, 123 using Prime Factorization

Given numbers are 143, 296, 205, 123

The list of prime factors of all numbers are

Prime factors of 143 are 11 x 13

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 205 are 5 x 41

Prime factors of 123 are 3 x 41

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

Steps to Calculate GCD of 143, 296, 205, 123 using LCM Formula

Given numbers are 143, 296, 205, 123

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

Apply this formula for all numbers.

Step1:

LCM(143, 296) = 42328

GCD(143, 296) = ( 143 x 296 ) / 42328

= 143 / 296

= 143


Step2:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1


Step3:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1


So, Greatest Common Divisor of 143, 296, 205, 123 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 143, 296, 205, 123

Given numbers are 143, 296, 205, 123
The greatest common divisor of numbers 143, 296, 205, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 143, 296, 205, 123 is 1.

FAQs on GCD of 143, 296, 205, 123 Calculator

1. What is the GCD of 143, 296, 205, 123?

GCD of given numbers 143, 296, 205, 123 is 1


2. How to calculate the greatest common divisor of 143, 296, 205, 123?

We can find the highest common divisor of 143, 296, 205, 123 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 143, 296, 205, 123 i.e 1.


3. How can I use the GCD of 143, 296, 205, 123Calculator?

Out the numbers 143, 296, 205, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.