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GCD of 469, 523, 85 Calculator

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


Online GCD Calculator is useful to find the GCD of 469, 523, 85 quickly. Get the easiest ways to solve the greatest common divisor of 469, 523, 85 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 469, 523, 85 with Factoring?

Given Input numbers are 469, 523, 85

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

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 85 :

The positive integer divisors of 85 that completely divides 85 are.

1, 5, 17, 85


GCD of numbers is the greatest common divisor

So, the GCD (469, 523, 85) = 1.

Find GCD of 469, 523, 85 using Prime Factorization

Given numbers are 469, 523, 85

The list of prime factors of all numbers are

Prime factors of 469 are 7 x 67

Prime factors of 523 are 523

Prime factors of 85 are 5 x 17

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

Steps to Calculate GCD of 469, 523, 85 using LCM Formula

Given numbers are 469, 523, 85

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

Apply this formula for all numbers.

Step1:

LCM(469, 523) = 245287

GCD(469, 523) = ( 469 x 523 ) / 245287

= 469 / 523

= 469


Step2:

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

= 1 / 85

= 1


So, Greatest Common Divisor of 469, 523, 85 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 469, 523, 85

Given numbers are 469, 523, 85
The greatest common divisor of numbers 469, 523, 85 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 469, 523, 85 is 1.

FAQs on GCD of 469, 523, 85 Calculator

1. What is the GCD of 469, 523, 85?

GCD of given numbers 469, 523, 85 is 1


2. How to calculate the greatest common divisor of 469, 523, 85?

We can find the highest common divisor of 469, 523, 85 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 469, 523, 85 i.e 1.


3. How can I use the GCD of 469, 523, 85Calculator?

Out the numbers 469, 523, 85 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.