GCD of 378, 910, 649, 975 Calculator

Given Input numbers are 378, 910, 649, 975

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 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 378, 910, 649, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 910, 649, 975 is 1.

Therefore, GCD of numbers 378, 910, 649, 975 is 1

Given Input Data is 378, 910, 649, 975

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 910 is 2 x 5 x 7 x 13

Prime Factorization of 649 is 11 x 59

Prime Factorization of 975 is 3 x 5 x 5 x 13

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, 910) = 24570

GCD(378, 910) = ( 378 x 910 ) / 24570

GCD(378, 910) = 343980 / 24570

GCD(378, 910) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 649

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

LCM(14, 649) = 9086

GCD(14, 649) = ( 14 x 649 ) / 9086

GCD(14, 649) = 9086 / 9086

GCD(14, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 378, 910, 649, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 391, 215, 231
• GCD of 579, 378, 613, 431
• GCD of 791, 258, 683, 452
• GCD of 112, 330, 265, 294
• GCD of 110, 193, 181, 475

1. What is the GCD of 378, 910, 649, 975?

GCD of 378, 910, 649, 975 is 1

2. Where do I get the detailed procedure to find GCD of 378, 910, 649, 975?

You can find a detailed procedure to find GCD of 378, 910, 649, 975 on our page.

3. How to find GCD of 378, 910, 649, 975 on a calculator?

You can find the GCD of 378, 910, 649, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.