Where do I get the detailed procedure to find GCD of 741, 975, 54?

You can find a detailed procedure to find GCD of 741, 975, 54 on our page.

How to find GCD of 741, 975, 54 on a calculator?

You can find the GCD of 741, 975, 54 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 741, 975, 54 Calculator

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

Online GCD Calculator is useful to find the GCD of 741, 975, 54 quickly. Get the easiest ways to solve the greatest common divisor of 741, 975, 54 i.e 3 in different methods as follows.

How to Find GCD of Numbers 741, 975, 54 with Factoring?

Given Input numbers are 741, 975, 54

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

GCD of numbers is the greatest common divisor

So, the GCD (741, 975, 54) = 3.

Find GCD of 741, 975, 54 using Prime Factorization

Given numbers are 741, 975, 54

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 54 are 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 741, 975, 54 is 3.

Steps to Calculate GCD of 741, 975, 54 using LCM Formula

Given numbers are 741, 975, 54

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

Apply this formula for all numbers.

Step1:

LCM(741, 975) = 18525

GCD(741, 975) = ( 741 x 975 ) / 18525

= 741 / 975

= 741

Step2:

LCM(39, 54) = 702

GCD(39, 54) = ( 39 x 54 ) / 702

= 39 / 54

= 39

So, Greatest Common Divisor of 741, 975, 54 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 741, 975, 54

Given numbers are 741, 975, 54
The greatest common divisor of numbers 741, 975, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 975, 54 is 3.

FAQs on GCD of 741, 975, 54 Calculator

1. What is the GCD of 741, 975, 54?

GCD of given numbers 741, 975, 54 is 3

2. How to calculate the greatest common divisor of 741, 975, 54?

We can find the highest common divisor of 741, 975, 54 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 741, 975, 54 i.e 3.

3. How can I use the GCD of 741, 975, 54Calculator?

Out the numbers 741, 975, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.