GCD of 465, 433, 74 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 465, 433, 74 i.e. 1 largest integer that divides all the numbers equally.

GCD of 465, 433, 74 is 1

GCD(465, 433, 74) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 465, 433, 74 is 1

GCD(465, 433, 74) = 1

GCD of 465,433,74 Calculator

GCDof 465,433,74 is 1

Given Input numbers are 465, 433, 74

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 465, 433, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 433, 74 is 1.

Therefore, GCD of numbers 465, 433, 74 is 1

Finding GCD of 465, 433, 74 using Prime Factorization

Given Input Data is 465, 433, 74

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 433 is 433

Prime Factorization of 74 is 2 x 37

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

Finding GCD of 465, 433, 74 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(465, 433) = 201345

GCD(465, 433) = ( 465 x 433 ) / 201345

GCD(465, 433) = 201345 / 201345

GCD(465, 433) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 465, 433, 74 is 1

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FAQs on GCD of numbers 465, 433, 74

1. What is the GCD of 465, 433, 74?

GCD of 465, 433, 74 is 1

2. Where do I get the detailed procedure to find GCD of 465, 433, 74?

You can find a detailed procedure to find GCD of 465, 433, 74 on our page.

3. How to find GCD of 465, 433, 74 on a calculator?

You can find the GCD of 465, 433, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.