Where do I get the detailed procedure to find GCD of 674, 146, 469?

You can find a detailed procedure to find GCD of 674, 146, 469 on our page.

How to find GCD of 674, 146, 469 on a calculator?

You can find the GCD of 674, 146, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 674, 146, 469 Calculator

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

Online GCD Calculator is useful to find the GCD of 674, 146, 469 quickly. Get the easiest ways to solve the greatest common divisor of 674, 146, 469 i.e 1 in different methods as follows.

How to Find GCD of Numbers 674, 146, 469 with Factoring?

Given Input numbers are 674, 146, 469

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 469 :

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

1, 7, 67, 469

GCD of numbers is the greatest common divisor

So, the GCD (674, 146, 469) = 1.

Find GCD of 674, 146, 469 using Prime Factorization

Given numbers are 674, 146, 469

The list of prime factors of all numbers are

Prime factors of 674 are 2 x 337

Prime factors of 146 are 2 x 73

Prime factors of 469 are 7 x 67

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

Steps to Calculate GCD of 674, 146, 469 using LCM Formula

Given numbers are 674, 146, 469

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

Apply this formula for all numbers.

Step1:

LCM(674, 146) = 49202

GCD(674, 146) = ( 674 x 146 ) / 49202

= 674 / 146

= 674

Step2:

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

= 2 / 469

= 2

So, Greatest Common Divisor of 674, 146, 469 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 674, 146, 469

Given numbers are 674, 146, 469
The greatest common divisor of numbers 674, 146, 469 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 146, 469 is 1.

FAQs on GCD of 674, 146, 469 Calculator

1. What is the GCD of 674, 146, 469?

GCD of given numbers 674, 146, 469 is 1

2. How to calculate the greatest common divisor of 674, 146, 469?

We can find the highest common divisor of 674, 146, 469 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 674, 146, 469 i.e 1.

3. How can I use the GCD of 674, 146, 469Calculator?

Out the numbers 674, 146, 469 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.