Where do I get the detailed procedure to find GCD of 742, 500, 538?

You can find a detailed procedure to find GCD of 742, 500, 538 on our page.

How to find GCD of 742, 500, 538 on a calculator?

You can find the GCD of 742, 500, 538 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 742, 500, 538 Calculator

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

Online GCD Calculator is useful to find the GCD of 742, 500, 538 quickly. Get the easiest ways to solve the greatest common divisor of 742, 500, 538 i.e 2 in different methods as follows.

How to Find GCD of Numbers 742, 500, 538 with Factoring?

Given Input numbers are 742, 500, 538

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

Divisors of 742 :

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

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (742, 500, 538) = 2.

Find GCD of 742, 500, 538 using Prime Factorization

Given numbers are 742, 500, 538

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 742, 500, 538 is 2.

Steps to Calculate GCD of 742, 500, 538 using LCM Formula

Given numbers are 742, 500, 538

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

Apply this formula for all numbers.

Step1:

LCM(742, 500) = 185500

GCD(742, 500) = ( 742 x 500 ) / 185500

= 742 / 500

= 742

Step2:

LCM(2, 538) = 538

GCD(2, 538) = ( 2 x 538 ) / 538

= 2 / 538

= 2

So, Greatest Common Divisor of 742, 500, 538 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 742, 500, 538

Given numbers are 742, 500, 538
The greatest common divisor of numbers 742, 500, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 500, 538 is 2.

FAQs on GCD of 742, 500, 538 Calculator

1. What is the GCD of 742, 500, 538?

GCD of given numbers 742, 500, 538 is 2

2. How to calculate the greatest common divisor of 742, 500, 538?

We can find the highest common divisor of 742, 500, 538 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 742, 500, 538 i.e 2.

3. How can I use the GCD of 742, 500, 538Calculator?

Out the numbers 742, 500, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.