Where do I get the detailed procedure to find GCD of 975, 405, 426?

You can find a detailed procedure to find GCD of 975, 405, 426 on our page.

How to find GCD of 975, 405, 426 on a calculator?

You can find the GCD of 975, 405, 426 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 975, 405, 426 Calculator

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

Online GCD Calculator is useful to find the GCD of 975, 405, 426 quickly. Get the easiest ways to solve the greatest common divisor of 975, 405, 426 i.e 3 in different methods as follows.

How to Find GCD of Numbers 975, 405, 426 with Factoring?

Given Input numbers are 975, 405, 426

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

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 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (975, 405, 426) = 3.

Find GCD of 975, 405, 426 using Prime Factorization

Given numbers are 975, 405, 426

The list of prime factors of all numbers are

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

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 975, 405, 426 is 3.

Steps to Calculate GCD of 975, 405, 426 using LCM Formula

Given numbers are 975, 405, 426

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

Apply this formula for all numbers.

Step1:

LCM(975, 405) = 26325

GCD(975, 405) = ( 975 x 405 ) / 26325

= 975 / 405

= 975

Step2:

LCM(15, 426) = 2130

GCD(15, 426) = ( 15 x 426 ) / 2130

= 15 / 426

= 15

So, Greatest Common Divisor of 975, 405, 426 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 975, 405, 426

Given numbers are 975, 405, 426
The greatest common divisor of numbers 975, 405, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 405, 426 is 3.

FAQs on GCD of 975, 405, 426 Calculator

1. What is the GCD of 975, 405, 426?

GCD of given numbers 975, 405, 426 is 3

2. How to calculate the greatest common divisor of 975, 405, 426?

We can find the highest common divisor of 975, 405, 426 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 975, 405, 426 i.e 3.

3. How can I use the GCD of 975, 405, 426Calculator?

Out the numbers 975, 405, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.