Where do I get the detailed procedure to find GCD of 146, 754, 38?

You can find a detailed procedure to find GCD of 146, 754, 38 on our page.

How to find GCD of 146, 754, 38 on a calculator?

You can find the GCD of 146, 754, 38 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 146, 754, 38 Calculator

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

Online GCD Calculator is useful to find the GCD of 146, 754, 38 quickly. Get the easiest ways to solve the greatest common divisor of 146, 754, 38 i.e 2 in different methods as follows.

How to Find GCD of Numbers 146, 754, 38 with Factoring?

Given Input numbers are 146, 754, 38

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

Divisors of 146 :

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

1, 2, 73, 146

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

GCD of numbers is the greatest common divisor

So, the GCD (146, 754, 38) = 2.

Find GCD of 146, 754, 38 using Prime Factorization

Given numbers are 146, 754, 38

The list of prime factors of all numbers are

Prime factors of 146 are 2 x 73

Prime factors of 754 are 2 x 13 x 29

Prime factors of 38 are 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 146, 754, 38 is 2.

Steps to Calculate GCD of 146, 754, 38 using LCM Formula

Given numbers are 146, 754, 38

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

Apply this formula for all numbers.

Step1:

LCM(146, 754) = 55042

GCD(146, 754) = ( 146 x 754 ) / 55042

= 146 / 754

= 146

Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

So, Greatest Common Divisor of 146, 754, 38 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 146, 754, 38

Given numbers are 146, 754, 38
The greatest common divisor of numbers 146, 754, 38 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 146, 754, 38 is 2.

FAQs on GCD of 146, 754, 38 Calculator

1. What is the GCD of 146, 754, 38?

GCD of given numbers 146, 754, 38 is 2

2. How to calculate the greatest common divisor of 146, 754, 38?

We can find the highest common divisor of 146, 754, 38 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 146, 754, 38 i.e 2.

3. How can I use the GCD of 146, 754, 38Calculator?

Out the numbers 146, 754, 38 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.