GCD of 378, 699, 89, 295 Calculator

Given Input numbers are 378, 699, 89, 295

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 378, 699, 89, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 699, 89, 295 is 1.

Therefore, GCD of numbers 378, 699, 89, 295 is 1

Given Input Data is 378, 699, 89, 295

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 699 is 3 x 233

Prime Factorization of 89 is 89

Prime Factorization of 295 is 5 x 59

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(378, 699) = 88074

GCD(378, 699) = ( 378 x 699 ) / 88074

GCD(378, 699) = 264222 / 88074

GCD(378, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 89

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

LCM(3, 89) = 267

GCD(3, 89) = ( 3 x 89 ) / 267

GCD(3, 89) = 267 / 267

GCD(3, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 378, 699, 89, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 955, 53, 340
• GCD of 182, 624, 84, 983
• GCD of 214, 620, 96, 252
• GCD of 937, 380, 56, 828
• GCD of 812, 845, 70, 680

1. What is the GCD of 378, 699, 89, 295?

GCD of 378, 699, 89, 295 is 1

2. Where do I get the detailed procedure to find GCD of 378, 699, 89, 295?

You can find a detailed procedure to find GCD of 378, 699, 89, 295 on our page.

3. How to find GCD of 378, 699, 89, 295 on a calculator?

You can find the GCD of 378, 699, 89, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.