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GCD of 142, 489, 723, 475 Calculator

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


Online GCD Calculator is useful to find the GCD of 142, 489, 723, 475 quickly. Get the easiest ways to solve the greatest common divisor of 142, 489, 723, 475 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 142, 489, 723, 475 with Factoring?

Given Input numbers are 142, 489, 723, 475

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

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475


GCD of numbers is the greatest common divisor

So, the GCD (142, 489, 723, 475) = 1.

Find GCD of 142, 489, 723, 475 using Prime Factorization

Given numbers are 142, 489, 723, 475

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 489 are 3 x 163

Prime factors of 723 are 3 x 241

Prime factors of 475 are 5 x 5 x 19

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

Steps to Calculate GCD of 142, 489, 723, 475 using LCM Formula

Given numbers are 142, 489, 723, 475

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

Apply this formula for all numbers.

Step1:

LCM(142, 489) = 69438

GCD(142, 489) = ( 142 x 489 ) / 69438

= 142 / 489

= 142


Step2:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1


Step3:

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

= 1 / 475

= 1


So, Greatest Common Divisor of 142, 489, 723, 475 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 142, 489, 723, 475

Given numbers are 142, 489, 723, 475
The greatest common divisor of numbers 142, 489, 723, 475 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 489, 723, 475 is 1.

FAQs on GCD of 142, 489, 723, 475 Calculator

1. What is the GCD of 142, 489, 723, 475?

GCD of given numbers 142, 489, 723, 475 is 1


2. How to calculate the greatest common divisor of 142, 489, 723, 475?

We can find the highest common divisor of 142, 489, 723, 475 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 142, 489, 723, 475 i.e 1.


3. How can I use the GCD of 142, 489, 723, 475Calculator?

Out the numbers 142, 489, 723, 475 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.