GCD of 274, 657, 378 Calculator

Given Input numbers are 274, 657, 378

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

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

Greatest Common Divisior

We found the divisors of 274, 657, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 657, 378 is 1.

Therefore, GCD of numbers 274, 657, 378 is 1

Given Input Data is 274, 657, 378

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 657 is 3 x 3 x 73

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

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(274, 657) = 180018

GCD(274, 657) = ( 274 x 657 ) / 180018

GCD(274, 657) = 180018 / 180018

GCD(274, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 274, 657, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 203, 774
• GCD of 849, 996, 934
• GCD of 142, 369, 383
• GCD of 630, 281, 444
• GCD of 245, 436, 691

1. What is the GCD of 274, 657, 378?

GCD of 274, 657, 378 is 1

2. Where do I get the detailed procedure to find GCD of 274, 657, 378?

You can find a detailed procedure to find GCD of 274, 657, 378 on our page.

3. How to find GCD of 274, 657, 378 on a calculator?

You can find the GCD of 274, 657, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.