Where do I get the detailed procedure to find GCD of 975, 621, 63?

You can find a detailed procedure to find GCD of 975, 621, 63 on our page.

How to find GCD of 975, 621, 63 on a calculator?

You can find the GCD of 975, 621, 63 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, 621, 63 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, 621, 63 quickly. Get the easiest ways to solve the greatest common divisor of 975, 621, 63 i.e 3 in different methods as follows.

How to Find GCD of Numbers 975, 621, 63 with Factoring?

Given Input numbers are 975, 621, 63

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 621 :

The positive integer divisors of 621 that completely divides 621 are.

1, 3, 9, 23, 27, 69, 207, 621

Divisors of 63 :

The positive integer divisors of 63 that completely divides 63 are.

1, 3, 7, 9, 21, 63

GCD of numbers is the greatest common divisor

So, the GCD (975, 621, 63) = 3.

Find GCD of 975, 621, 63 using Prime Factorization

Given numbers are 975, 621, 63

The list of prime factors of all numbers are

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

Prime factors of 621 are 3 x 3 x 3 x 23

Prime factors of 63 are 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 975, 621, 63 is 3.

Steps to Calculate GCD of 975, 621, 63 using LCM Formula

Given numbers are 975, 621, 63

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

Apply this formula for all numbers.

Step1:

LCM(975, 621) = 201825

GCD(975, 621) = ( 975 x 621 ) / 201825

= 975 / 621

= 975

Step2:

LCM(3, 63) = 63

GCD(3, 63) = ( 3 x 63 ) / 63

= 3 / 63

= 3

So, Greatest Common Divisor of 975, 621, 63 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 975, 621, 63

Given numbers are 975, 621, 63
The greatest common divisor of numbers 975, 621, 63 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 621, 63 is 3.

FAQs on GCD of 975, 621, 63 Calculator

1. What is the GCD of 975, 621, 63?

GCD of given numbers 975, 621, 63 is 3

2. How to calculate the greatest common divisor of 975, 621, 63?

We can find the highest common divisor of 975, 621, 63 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, 621, 63 i.e 3.

3. How can I use the GCD of 975, 621, 63Calculator?

Out the numbers 975, 621, 63 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.