GCD of 63, 696, 117, 419 Calculator

Given Input numbers are 63, 696, 117, 419

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 63, 696, 117, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 696, 117, 419 is 1.

Therefore, GCD of numbers 63, 696, 117, 419 is 1

Given Input Data is 63, 696, 117, 419

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 419 is 419

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(63, 696) = 14616

GCD(63, 696) = ( 63 x 696 ) / 14616

GCD(63, 696) = 43848 / 14616

GCD(63, 696) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 117

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

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

GCD(3, 117) = 351 / 117

GCD(3, 117) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 419

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

LCM(3, 419) = 1257

GCD(3, 419) = ( 3 x 419 ) / 1257

GCD(3, 419) = 1257 / 1257

GCD(3, 419) = 1

GCD of 63, 696, 117, 419 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 710, 914, 567
• GCD of 86, 995, 604, 969
• GCD of 42, 280, 299, 247
• GCD of 20, 397, 181, 664
• GCD of 81, 626, 990, 915

1. What is the GCD of 63, 696, 117, 419?

GCD of 63, 696, 117, 419 is 1

2. Where do I get the detailed procedure to find GCD of 63, 696, 117, 419?

You can find a detailed procedure to find GCD of 63, 696, 117, 419 on our page.

3. How to find GCD of 63, 696, 117, 419 on a calculator?

You can find the GCD of 63, 696, 117, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.