GCD of 378, 217, 519, 607 Calculator

Given Input numbers are 378, 217, 519, 607

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Greatest Common Divisior

We found the divisors of 378, 217, 519, 607 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 217, 519, 607 is 1.

Therefore, GCD of numbers 378, 217, 519, 607 is 1

Given Input Data is 378, 217, 519, 607

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 217 is 7 x 31

Prime Factorization of 519 is 3 x 173

Prime Factorization of 607 is 607

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, 217) = 11718

GCD(378, 217) = ( 378 x 217 ) / 11718

GCD(378, 217) = 82026 / 11718

GCD(378, 217) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 519

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

LCM(7, 519) = 3633

GCD(7, 519) = ( 7 x 519 ) / 3633

GCD(7, 519) = 3633 / 3633

GCD(7, 519) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 607

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

LCM(1, 607) = 607

GCD(1, 607) = ( 1 x 607 ) / 607

GCD(1, 607) = 607 / 607

GCD(1, 607) = 1

GCD of 378, 217, 519, 607 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 574, 140, 564
• GCD of 707, 254, 718, 994
• GCD of 550, 146, 406, 623
• GCD of 861, 705, 776, 467
• GCD of 169, 173, 106, 702

1. What is the GCD of 378, 217, 519, 607?

GCD of 378, 217, 519, 607 is 1

2. Where do I get the detailed procedure to find GCD of 378, 217, 519, 607?

You can find a detailed procedure to find GCD of 378, 217, 519, 607 on our page.

3. How to find GCD of 378, 217, 519, 607 on a calculator?

You can find the GCD of 378, 217, 519, 607 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.