Where do I get the detailed procedure to find GCD of 945, 693, 476?

You can find a detailed procedure to find GCD of 945, 693, 476 on our page.

How to find GCD of 945, 693, 476 on a calculator?

You can find the GCD of 945, 693, 476 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, 693, 476 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, 693, 476 quickly. Get the easiest ways to solve the greatest common divisor of 945, 693, 476 i.e 7 in different methods as follows.

How to Find GCD of Numbers 945, 693, 476 with Factoring?

Given Input numbers are 945, 693, 476

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

GCD of numbers is the greatest common divisor

So, the GCD (945, 693, 476) = 7.

Find GCD of 945, 693, 476 using Prime Factorization

Given numbers are 945, 693, 476

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 693 are 3 x 3 x 7 x 11

Prime factors of 476 are 2 x 2 x 7 x 17

The highest common occurrence is 7¹

Therefore, GCD of 945, 693, 476 is 7.

Steps to Calculate GCD of 945, 693, 476 using LCM Formula

Given numbers are 945, 693, 476

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

Apply this formula for all numbers.

Step1:

LCM(945, 693) = 10395

GCD(945, 693) = ( 945 x 693 ) / 10395

= 945 / 693

= 945

Step2:

LCM(63, 476) = 4284

GCD(63, 476) = ( 63 x 476 ) / 4284

= 63 / 476

= 63

So, Greatest Common Divisor of 945, 693, 476 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 945, 693, 476

Given numbers are 945, 693, 476
The greatest common divisor of numbers 945, 693, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 693, 476 is 7.

FAQs on GCD of 945, 693, 476 Calculator

1. What is the GCD of 945, 693, 476?

GCD of given numbers 945, 693, 476 is 7

2. How to calculate the greatest common divisor of 945, 693, 476?

We can find the highest common divisor of 945, 693, 476 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, 693, 476 i.e 7.

3. How can I use the GCD of 945, 693, 476Calculator?

Out the numbers 945, 693, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.