GCD of 105, 440, 518, 374 Calculator

Given Input numbers are 105, 440, 518, 374

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

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 105, 440, 518, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 440, 518, 374 is 1.

Therefore, GCD of numbers 105, 440, 518, 374 is 1

Given Input Data is 105, 440, 518, 374

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 518 is 2 x 7 x 37

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(105, 440) = 9240

GCD(105, 440) = ( 105 x 440 ) / 9240

GCD(105, 440) = 46200 / 9240

GCD(105, 440) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 518

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

LCM(5, 518) = 2590

GCD(5, 518) = ( 5 x 518 ) / 2590

GCD(5, 518) = 2590 / 2590

GCD(5, 518) = 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 105, 440, 518, 374 is 1

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• GCD of 517, 414, 442, 381
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1. What is the GCD of 105, 440, 518, 374?

GCD of 105, 440, 518, 374 is 1

2. Where do I get the detailed procedure to find GCD of 105, 440, 518, 374?

You can find a detailed procedure to find GCD of 105, 440, 518, 374 on our page.

3. How to find GCD of 105, 440, 518, 374 on a calculator?

You can find the GCD of 105, 440, 518, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.