Where do I get the detailed procedure to find GCD of 460, 428, 742?

You can find a detailed procedure to find GCD of 460, 428, 742 on our page.

How to find GCD of 460, 428, 742 on a calculator?

You can find the GCD of 460, 428, 742 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 460, 428, 742 Calculator

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

Online GCD Calculator is useful to find the GCD of 460, 428, 742 quickly. Get the easiest ways to solve the greatest common divisor of 460, 428, 742 i.e 2 in different methods as follows.

How to Find GCD of Numbers 460, 428, 742 with Factoring?

Given Input numbers are 460, 428, 742

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (460, 428, 742) = 2.

Find GCD of 460, 428, 742 using Prime Factorization

Given numbers are 460, 428, 742

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 428 are 2 x 2 x 107

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 460, 428, 742 is 2.

Steps to Calculate GCD of 460, 428, 742 using LCM Formula

Given numbers are 460, 428, 742

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

Apply this formula for all numbers.

Step1:

LCM(460, 428) = 49220

GCD(460, 428) = ( 460 x 428 ) / 49220

= 460 / 428

= 460

Step2:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

So, Greatest Common Divisor of 460, 428, 742 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 460, 428, 742

Given numbers are 460, 428, 742
The greatest common divisor of numbers 460, 428, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 428, 742 is 2.

FAQs on GCD of 460, 428, 742 Calculator

1. What is the GCD of 460, 428, 742?

GCD of given numbers 460, 428, 742 is 2

2. How to calculate the greatest common divisor of 460, 428, 742?

We can find the highest common divisor of 460, 428, 742 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 460, 428, 742 i.e 2.

3. How can I use the GCD of 460, 428, 742Calculator?

Out the numbers 460, 428, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.