Where do I get the detailed procedure to find GCD of 945, 924, 105?

You can find a detailed procedure to find GCD of 945, 924, 105 on our page.

How to find GCD of 945, 924, 105 on a calculator?

You can find the GCD of 945, 924, 105 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 945, 924, 105 Calculator

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

Online GCD Calculator is useful to find the GCD of 945, 924, 105 quickly. Get the easiest ways to solve the greatest common divisor of 945, 924, 105 i.e 21 in different methods as follows.

How to Find GCD of Numbers 945, 924, 105 with Factoring?

Given Input numbers are 945, 924, 105

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (945, 924, 105) = 21.

Find GCD of 945, 924, 105 using Prime Factorization

Given numbers are 945, 924, 105

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 3¹ x 7¹

Therefore, GCD of 945, 924, 105 is 21.

Steps to Calculate GCD of 945, 924, 105 using LCM Formula

Given numbers are 945, 924, 105

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

Apply this formula for all numbers.

Step1:

LCM(945, 924) = 41580

GCD(945, 924) = ( 945 x 924 ) / 41580

= 945 / 924

= 945

Step2:

LCM(21, 105) = 105

GCD(21, 105) = ( 21 x 105 ) / 105

= 21 / 105

= 21

So, Greatest Common Divisor of 945, 924, 105 is 21

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 945, 924, 105

Given numbers are 945, 924, 105
The greatest common divisor of numbers 945, 924, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 924, 105 is 21.

FAQs on GCD of 945, 924, 105 Calculator

1. What is the GCD of 945, 924, 105?

GCD of given numbers 945, 924, 105 is 21

2. How to calculate the greatest common divisor of 945, 924, 105?

We can find the highest common divisor of 945, 924, 105 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 945, 924, 105 i.e 21.

3. How can I use the GCD of 945, 924, 105Calculator?

Out the numbers 945, 924, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.