GCD of 936, 240, 245, 374 Calculator

Given Input numbers are 936, 240, 245, 374

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Greatest Common Divisior

We found the divisors of 936, 240, 245, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 240, 245, 374 is 1.

Therefore, GCD of numbers 936, 240, 245, 374 is 1

Given Input Data is 936, 240, 245, 374

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 374 is 2 x 11 x 17

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(936, 240) = 9360

GCD(936, 240) = ( 936 x 240 ) / 9360

GCD(936, 240) = 224640 / 9360

GCD(936, 240) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 245

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

LCM(24, 245) = 5880

GCD(24, 245) = ( 24 x 245 ) / 5880

GCD(24, 245) = 5880 / 5880

GCD(24, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

GCD of 936, 240, 245, 374 is 1

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1. What is the GCD of 936, 240, 245, 374?

GCD of 936, 240, 245, 374 is 1

2. Where do I get the detailed procedure to find GCD of 936, 240, 245, 374?

You can find a detailed procedure to find GCD of 936, 240, 245, 374 on our page.

3. How to find GCD of 936, 240, 245, 374 on a calculator?

You can find the GCD of 936, 240, 245, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.