GCD of 838, 920, 315, 907 Calculator

Given Input numbers are 838, 920, 315, 907

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 907

List of positive integer divisors of 907 that divides 907 without a remainder.

1, 907

Greatest Common Divisior

We found the divisors of 838, 920, 315, 907 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 920, 315, 907 is 1.

Therefore, GCD of numbers 838, 920, 315, 907 is 1

Given Input Data is 838, 920, 315, 907

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 907 is 907

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(838, 920) = 385480

GCD(838, 920) = ( 838 x 920 ) / 385480

GCD(838, 920) = 770960 / 385480

GCD(838, 920) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 315

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

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

GCD(2, 315) = 630 / 630

GCD(2, 315) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 907

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

LCM(1, 907) = 907

GCD(1, 907) = ( 1 x 907 ) / 907

GCD(1, 907) = 907 / 907

GCD(1, 907) = 1

GCD of 838, 920, 315, 907 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 276, 528, 180
• GCD of 998, 306, 212, 244
• GCD of 664, 133, 380, 405
• GCD of 380, 720, 935, 755
• GCD of 749, 444, 232, 581

1. What is the GCD of 838, 920, 315, 907?

GCD of 838, 920, 315, 907 is 1

2. Where do I get the detailed procedure to find GCD of 838, 920, 315, 907?

You can find a detailed procedure to find GCD of 838, 920, 315, 907 on our page.

3. How to find GCD of 838, 920, 315, 907 on a calculator?

You can find the GCD of 838, 920, 315, 907 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.