GCD of 378, 698, 71, 514 Calculator

Given Input numbers are 378, 698, 71, 514

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 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 378, 698, 71, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 698, 71, 514 is 1.

Therefore, GCD of numbers 378, 698, 71, 514 is 1

Given Input Data is 378, 698, 71, 514

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 698 is 2 x 349

Prime Factorization of 71 is 71

Prime Factorization of 514 is 2 x 257

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, 698) = 131922

GCD(378, 698) = ( 378 x 698 ) / 131922

GCD(378, 698) = 263844 / 131922

GCD(378, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 378, 698, 71, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 401, 75, 144
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• GCD of 266, 471, 34, 158
• GCD of 150, 527, 38, 232
• GCD of 441, 117, 11, 700

1. What is the GCD of 378, 698, 71, 514?

GCD of 378, 698, 71, 514 is 1

2. Where do I get the detailed procedure to find GCD of 378, 698, 71, 514?

You can find a detailed procedure to find GCD of 378, 698, 71, 514 on our page.

3. How to find GCD of 378, 698, 71, 514 on a calculator?

You can find the GCD of 378, 698, 71, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.